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Finding the Fourth Proportional to 8,714.53, 13,046.95 and 5,787.01

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Solution

The fourth proportional to 8,714.53, 13,046.95 and 5,787.01 is: 8,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.53 : 13,046.95 = 5,787.01 : x
  2. Step 2: Convert to fraction form
    8,714.53/13,046.95 = 5,787.01/x
  3. Step 3: Cross multiply
    8,714.53x = 13,046.95 × 5,787.01
  4. Step 4: Simplify right side
    8,714.53x = 75,502,830.12
  5. Step 5: Solve for x
    x = 75,502,830.12/8,714.53
  6. Step 6: Final answer
    x = 8,664.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.