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Finding the Fourth Proportional to 10,863, 14,989.98 and 7,677.52

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Solution

The fourth proportional to 10,863, 14,989.98 and 7,677.52 is: 10,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863 : 14,989.98 = 7,677.52 : x
  2. Step 2: Convert to fraction form
    10,863/14,989.98 = 7,677.52/x
  3. Step 3: Cross multiply
    10,863x = 14,989.98 × 7,677.52
  4. Step 4: Simplify right side
    10,863x = 115,085,871.25
  5. Step 5: Solve for x
    x = 115,085,871.25/10,863
  6. Step 6: Final answer
    x = 10,594.30

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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.