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Finding the Fourth Proportional to 10,502.65, 15,754.54 and 4,261.73

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Solution

The fourth proportional to 10,502.65, 15,754.54 and 4,261.73 is: 6,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.65 : 15,754.54 = 4,261.73 : x
  2. Step 2: Convert to fraction form
    10,502.65/15,754.54 = 4,261.73/x
  3. Step 3: Cross multiply
    10,502.65x = 15,754.54 × 4,261.73
  4. Step 4: Simplify right side
    10,502.65x = 67,141,595.75
  5. Step 5: Solve for x
    x = 67,141,595.75/10,502.65
  6. Step 6: Final answer
    x = 6,392.82

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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.