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Finding the Fourth Proportional to 9,916.68, 14,877.52 and 7,000.68

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Solution

The fourth proportional to 9,916.68, 14,877.52 and 7,000.68 is: 10,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.68 : 14,877.52 = 7,000.68 : x
  2. Step 2: Convert to fraction form
    9,916.68/14,877.52 = 7,000.68/x
  3. Step 3: Cross multiply
    9,916.68x = 14,877.52 × 7,000.68
  4. Step 4: Simplify right side
    9,916.68x = 104,152,756.71
  5. Step 5: Solve for x
    x = 104,152,756.71/9,916.68
  6. Step 6: Final answer
    x = 10,502.78

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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.