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Finding the Fourth Proportional to 10,139.60, 15,209.40 and 8,584.40

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Solution

The fourth proportional to 10,139.60, 15,209.40 and 8,584.40 is: 12,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.60 : 15,209.40 = 8,584.40 : x
  2. Step 2: Convert to fraction form
    10,139.60/15,209.40 = 8,584.40/x
  3. Step 3: Cross multiply
    10,139.60x = 15,209.40 × 8,584.40
  4. Step 4: Simplify right side
    10,139.60x = 130,563,573.36
  5. Step 5: Solve for x
    x = 130,563,573.36/10,139.60
  6. Step 6: Final answer
    x = 12,876.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.