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Finding the Fourth Proportional to 11,387.70, 15,710.64 and 6,909.84

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Solution

The fourth proportional to 11,387.70, 15,710.64 and 6,909.84 is: 9,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.70 : 15,710.64 = 6,909.84 : x
  2. Step 2: Convert to fraction form
    11,387.70/15,710.64 = 6,909.84/x
  3. Step 3: Cross multiply
    11,387.70x = 15,710.64 × 6,909.84
  4. Step 4: Simplify right side
    11,387.70x = 108,558,008.70
  5. Step 5: Solve for x
    x = 108,558,008.70/11,387.70
  6. Step 6: Final answer
    x = 9,532.92

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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.