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Finding the Fourth Proportional to 10,424.56, 14,390.40 and 6,232

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Solution

The fourth proportional to 10,424.56, 14,390.40 and 6,232 is: 8,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.56 : 14,390.40 = 6,232 : x
  2. Step 2: Convert to fraction form
    10,424.56/14,390.40 = 6,232/x
  3. Step 3: Cross multiply
    10,424.56x = 14,390.40 × 6,232
  4. Step 4: Simplify right side
    10,424.56x = 89,680,972.80
  5. Step 5: Solve for x
    x = 89,680,972.80/10,424.56
  6. Step 6: Final answer
    x = 8,602.85

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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.