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Finding the Fourth Proportional to 10,712.40, 14,783.24 and 6,463.68

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Solution

The fourth proportional to 10,712.40, 14,783.24 and 6,463.68 is: 8,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.40 : 14,783.24 = 6,463.68 : x
  2. Step 2: Convert to fraction form
    10,712.40/14,783.24 = 6,463.68/x
  3. Step 3: Cross multiply
    10,712.40x = 14,783.24 × 6,463.68
  4. Step 4: Simplify right side
    10,712.40x = 95,554,132.72
  5. Step 5: Solve for x
    x = 95,554,132.72/10,712.40
  6. Step 6: Final answer
    x = 8,919.96

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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.