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Finding the Fourth Proportional to 8,714.00, 13,071.40 and 2,870.66

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Solution

The fourth proportional to 8,714.00, 13,071.40 and 2,870.66 is: 4,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.00 : 13,071.40 = 2,870.66 : x
  2. Step 2: Convert to fraction form
    8,714.00/13,071.40 = 2,870.66/x
  3. Step 3: Cross multiply
    8,714.00x = 13,071.40 × 2,870.66
  4. Step 4: Simplify right side
    8,714.00x = 37,523,505.17
  5. Step 5: Solve for x
    x = 37,523,505.17/8,714.00
  6. Step 6: Final answer
    x = 4,306.12

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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.