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Finding the Fourth Proportional to 10,655.28, 14,688.88 and 7,458.65

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Solution

The fourth proportional to 10,655.28, 14,688.88 and 7,458.65 is: 10,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.28 : 14,688.88 = 7,458.65 : x
  2. Step 2: Convert to fraction form
    10,655.28/14,688.88 = 7,458.65/x
  3. Step 3: Cross multiply
    10,655.28x = 14,688.88 × 7,458.65
  4. Step 4: Simplify right side
    10,655.28x = 109,559,177.80
  5. Step 5: Solve for x
    x = 109,559,177.80/10,655.28
  6. Step 6: Final answer
    x = 10,282.15

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