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Finding the Fourth Proportional to 8,714.56, 13,073.88 and 2,870.95

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Solution

The fourth proportional to 8,714.56, 13,073.88 and 2,870.95 is: 4,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.56 : 13,073.88 = 2,870.95 : x
  2. Step 2: Convert to fraction form
    8,714.56/13,073.88 = 2,870.95/x
  3. Step 3: Cross multiply
    8,714.56x = 13,073.88 × 2,870.95
  4. Step 4: Simplify right side
    8,714.56x = 37,534,455.79
  5. Step 5: Solve for x
    x = 37,534,455.79/8,714.56
  6. Step 6: Final answer
    x = 4,307.10

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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.