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Finding the Fourth Proportional to 7,714.17, 11,503.52 and 7,644.00

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Solution

The fourth proportional to 7,714.17, 11,503.52 and 7,644.00 is: 11,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.17 : 11,503.52 = 7,644.00 : x
  2. Step 2: Convert to fraction form
    7,714.17/11,503.52 = 7,644.00/x
  3. Step 3: Cross multiply
    7,714.17x = 11,503.52 × 7,644.00
  4. Step 4: Simplify right side
    7,714.17x = 87,932,940.46
  5. Step 5: Solve for x
    x = 87,932,940.46/7,714.17
  6. Step 6: Final answer
    x = 11,398.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.