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Finding the Fourth Proportional to 10,454.40, 15,687.06 and 4,215.96

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Solution

The fourth proportional to 10,454.40, 15,687.06 and 4,215.96 is: 6,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.40 : 15,687.06 = 4,215.96 : x
  2. Step 2: Convert to fraction form
    10,454.40/15,687.06 = 4,215.96/x
  3. Step 3: Cross multiply
    10,454.40x = 15,687.06 × 4,215.96
  4. Step 4: Simplify right side
    10,454.40x = 66,136,017.48
  5. Step 5: Solve for x
    x = 66,136,017.48/10,454.40
  6. Step 6: Final answer
    x = 6,326.14

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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.