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Finding the Fourth Proportional to 10,715.66, 16,043.62 and 9,729.50

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Solution

The fourth proportional to 10,715.66, 16,043.62 and 9,729.50 is: 14,567.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.66 : 16,043.62 = 9,729.50 : x
  2. Step 2: Convert to fraction form
    10,715.66/16,043.62 = 9,729.50/x
  3. Step 3: Cross multiply
    10,715.66x = 16,043.62 × 9,729.50
  4. Step 4: Simplify right side
    10,715.66x = 156,096,400.79
  5. Step 5: Solve for x
    x = 156,096,400.79/10,715.66
  6. Step 6: Final answer
    x = 14,567.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.