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Finding the Fourth Proportional to 10,877.50, 15,005.88 and 6,398.40

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Solution

The fourth proportional to 10,877.50, 15,005.88 and 6,398.40 is: 8,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.50 : 15,005.88 = 6,398.40 : x
  2. Step 2: Convert to fraction form
    10,877.50/15,005.88 = 6,398.40/x
  3. Step 3: Cross multiply
    10,877.50x = 15,005.88 × 6,398.40
  4. Step 4: Simplify right side
    10,877.50x = 96,013,622.59
  5. Step 5: Solve for x
    x = 96,013,622.59/10,877.50
  6. Step 6: Final answer
    x = 8,826.81

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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.