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Finding the Fourth Proportional to 10,714.39, 14,785.85 and 6,522.64

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Solution

The fourth proportional to 10,714.39, 14,785.85 and 6,522.64 is: 9,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.39 : 14,785.85 = 6,522.64 : x
  2. Step 2: Convert to fraction form
    10,714.39/14,785.85 = 6,522.64/x
  3. Step 3: Cross multiply
    10,714.39x = 14,785.85 × 6,522.64
  4. Step 4: Simplify right side
    10,714.39x = 96,442,707.07
  5. Step 5: Solve for x
    x = 96,442,707.07/10,714.39
  6. Step 6: Final answer
    x = 9,001.23

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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.