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Finding the Fourth Proportional to 10,916.88, 15,064.32 and 6,200.28

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Solution

The fourth proportional to 10,916.88, 15,064.32 and 6,200.28 is: 8,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.88 : 15,064.32 = 6,200.28 : x
  2. Step 2: Convert to fraction form
    10,916.88/15,064.32 = 6,200.28/x
  3. Step 3: Cross multiply
    10,916.88x = 15,064.32 × 6,200.28
  4. Step 4: Simplify right side
    10,916.88x = 93,403,002.01
  5. Step 5: Solve for x
    x = 93,403,002.01/10,916.88
  6. Step 6: Final answer
    x = 8,555.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.