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Finding the Fourth Proportional to 10,586.88, 15,892.80 and 6,207.68

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Solution

The fourth proportional to 10,586.88, 15,892.80 and 6,207.68 is: 9,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.88 : 15,892.80 = 6,207.68 : x
  2. Step 2: Convert to fraction form
    10,586.88/15,892.80 = 6,207.68/x
  3. Step 3: Cross multiply
    10,586.88x = 15,892.80 × 6,207.68
  4. Step 4: Simplify right side
    10,586.88x = 98,657,416.70
  5. Step 5: Solve for x
    x = 98,657,416.70/10,586.88
  6. Step 6: Final answer
    x = 9,318.84

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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.