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Finding the Fourth Proportional to 10,475.52, 15,713.88 and 2,684.13

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Solution

The fourth proportional to 10,475.52, 15,713.88 and 2,684.13 is: 4,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.52 : 15,713.88 = 2,684.13 : x
  2. Step 2: Convert to fraction form
    10,475.52/15,713.88 = 2,684.13/x
  3. Step 3: Cross multiply
    10,475.52x = 15,713.88 × 2,684.13
  4. Step 4: Simplify right side
    10,475.52x = 42,178,096.72
  5. Step 5: Solve for x
    x = 42,178,096.72/10,475.52
  6. Step 6: Final answer
    x = 4,026.35

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