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Finding the Fourth Proportional to 10,714.91, 14,776.71 and 7,351.79

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Solution

The fourth proportional to 10,714.91, 14,776.71 and 7,351.79 is: 10,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.91 : 14,776.71 = 7,351.79 : x
  2. Step 2: Convert to fraction form
    10,714.91/14,776.71 = 7,351.79/x
  3. Step 3: Cross multiply
    10,714.91x = 14,776.71 × 7,351.79
  4. Step 4: Simplify right side
    10,714.91x = 108,635,268.81
  5. Step 5: Solve for x
    x = 108,635,268.81/10,714.91
  6. Step 6: Final answer
    x = 10,138.70

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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.