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Finding the Fourth Proportional to 10,712.52, 14,784.75 and 6,463.80

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Solution

The fourth proportional to 10,712.52, 14,784.75 and 6,463.80 is: 8,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.52 : 14,784.75 = 6,463.80 : x
  2. Step 2: Convert to fraction form
    10,712.52/14,784.75 = 6,463.80/x
  3. Step 3: Cross multiply
    10,712.52x = 14,784.75 × 6,463.80
  4. Step 4: Simplify right side
    10,712.52x = 95,565,667.05
  5. Step 5: Solve for x
    x = 95,565,667.05/10,712.52
  6. Step 6: Final answer
    x = 8,920.93

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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.