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Finding the Fourth Proportional to 10,693.68, 14,761.38 and 7,155.60

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Solution

The fourth proportional to 10,693.68, 14,761.38 and 7,155.60 is: 9,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.68 : 14,761.38 = 7,155.60 : x
  2. Step 2: Convert to fraction form
    10,693.68/14,761.38 = 7,155.60/x
  3. Step 3: Cross multiply
    10,693.68x = 14,761.38 × 7,155.60
  4. Step 4: Simplify right side
    10,693.68x = 105,626,530.73
  5. Step 5: Solve for x
    x = 105,626,530.73/10,693.68
  6. Step 6: Final answer
    x = 9,877.47

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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.