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Finding the Fourth Proportional to 11,562.40, 15,956.16 and 6,257.21

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Solution

The fourth proportional to 11,562.40, 15,956.16 and 6,257.21 is: 8,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.40 : 15,956.16 = 6,257.21 : x
  2. Step 2: Convert to fraction form
    11,562.40/15,956.16 = 6,257.21/x
  3. Step 3: Cross multiply
    11,562.40x = 15,956.16 × 6,257.21
  4. Step 4: Simplify right side
    11,562.40x = 99,841,012.63
  5. Step 5: Solve for x
    x = 99,841,012.63/11,562.40
  6. Step 6: Final answer
    x = 8,634.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.