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Finding the Fourth Proportional to 11,177.84, 15,421.92 and 8,349.32

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Solution

The fourth proportional to 11,177.84, 15,421.92 and 8,349.32 is: 11,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.84 : 15,421.92 = 8,349.32 : x
  2. Step 2: Convert to fraction form
    11,177.84/15,421.92 = 8,349.32/x
  3. Step 3: Cross multiply
    11,177.84x = 15,421.92 × 8,349.32
  4. Step 4: Simplify right side
    11,177.84x = 128,762,545.09
  5. Step 5: Solve for x
    x = 128,762,545.09/11,177.84
  6. Step 6: Final answer
    x = 11,519.45

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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.