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Finding the Fourth Proportional to 11,586.53, 15,988.98 and 6,281.24

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Solution

The fourth proportional to 11,586.53, 15,988.98 and 6,281.24 is: 8,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.53 : 15,988.98 = 6,281.24 : x
  2. Step 2: Convert to fraction form
    11,586.53/15,988.98 = 6,281.24/x
  3. Step 3: Cross multiply
    11,586.53x = 15,988.98 × 6,281.24
  4. Step 4: Simplify right side
    11,586.53x = 100,430,564.34
  5. Step 5: Solve for x
    x = 100,430,564.34/11,586.53
  6. Step 6: Final answer
    x = 8,667.87

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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.