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Finding the Fourth Proportional to 10,877.60, 15,009.18 and 6,402.26

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Solution

The fourth proportional to 10,877.60, 15,009.18 and 6,402.26 is: 8,834.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.60 : 15,009.18 = 6,402.26 : x
  2. Step 2: Convert to fraction form
    10,877.60/15,009.18 = 6,402.26/x
  3. Step 3: Cross multiply
    10,877.60x = 15,009.18 × 6,402.26
  4. Step 4: Simplify right side
    10,877.60x = 96,092,672.75
  5. Step 5: Solve for x
    x = 96,092,672.75/10,877.60
  6. Step 6: Final answer
    x = 8,834.00

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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.