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Finding the Fourth Proportional to 10,505.71, 15,758.84 and 2,714.50

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Solution

The fourth proportional to 10,505.71, 15,758.84 and 2,714.50 is: 4,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.71 : 15,758.84 = 2,714.50 : x
  2. Step 2: Convert to fraction form
    10,505.71/15,758.84 = 2,714.50/x
  3. Step 3: Cross multiply
    10,505.71x = 15,758.84 × 2,714.50
  4. Step 4: Simplify right side
    10,505.71x = 42,777,371.18
  5. Step 5: Solve for x
    x = 42,777,371.18/10,505.71
  6. Step 6: Final answer
    x = 4,071.82

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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.