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Finding the Fourth Proportional to 10,290.60, 14,200.02 and 6,098.04

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Solution

The fourth proportional to 10,290.60, 14,200.02 and 6,098.04 is: 8,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.60 : 14,200.02 = 6,098.04 : x
  2. Step 2: Convert to fraction form
    10,290.60/14,200.02 = 6,098.04/x
  3. Step 3: Cross multiply
    10,290.60x = 14,200.02 × 6,098.04
  4. Step 4: Simplify right side
    10,290.60x = 86,592,289.96
  5. Step 5: Solve for x
    x = 86,592,289.96/10,290.60
  6. Step 6: Final answer
    x = 8,414.70

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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.