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Finding the Fourth Proportional to 10,546.99, 15,810.15 and 5,869.24

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Solution

The fourth proportional to 10,546.99, 15,810.15 and 5,869.24 is: 8,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.99 : 15,810.15 = 5,869.24 : x
  2. Step 2: Convert to fraction form
    10,546.99/15,810.15 = 5,869.24/x
  3. Step 3: Cross multiply
    10,546.99x = 15,810.15 × 5,869.24
  4. Step 4: Simplify right side
    10,546.99x = 92,793,564.79
  5. Step 5: Solve for x
    x = 92,793,564.79/10,546.99
  6. Step 6: Final answer
    x = 8,798.11

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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.