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Finding the Fourth Proportional to 10,432.56, 14,401.44 and 6,240

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Solution

The fourth proportional to 10,432.56, 14,401.44 and 6,240 is: 8,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.56 : 14,401.44 = 6,240 : x
  2. Step 2: Convert to fraction form
    10,432.56/14,401.44 = 6,240/x
  3. Step 3: Cross multiply
    10,432.56x = 14,401.44 × 6,240
  4. Step 4: Simplify right side
    10,432.56x = 89,864,985.60
  5. Step 5: Solve for x
    x = 89,864,985.60/10,432.56
  6. Step 6: Final answer
    x = 8,613.90

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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.