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Finding the Fourth Proportional to 11,384.74, 15,708.27 and 6,908.35

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Solution

The fourth proportional to 11,384.74, 15,708.27 and 6,908.35 is: 9,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.74 : 15,708.27 = 6,908.35 : x
  2. Step 2: Convert to fraction form
    11,384.74/15,708.27 = 6,908.35/x
  3. Step 3: Cross multiply
    11,384.74x = 15,708.27 × 6,908.35
  4. Step 4: Simplify right side
    11,384.74x = 108,518,227.05
  5. Step 5: Solve for x
    x = 108,518,227.05/11,384.74
  6. Step 6: Final answer
    x = 9,531.90

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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.