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Finding the Fourth Proportional to 10,642.60, 15,942.30 and 6,020.20

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Solution

The fourth proportional to 10,642.60, 15,942.30 and 6,020.20 is: 9,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.60 : 15,942.30 = 6,020.20 : x
  2. Step 2: Convert to fraction form
    10,642.60/15,942.30 = 6,020.20/x
  3. Step 3: Cross multiply
    10,642.60x = 15,942.30 × 6,020.20
  4. Step 4: Simplify right side
    10,642.60x = 95,975,834.46
  5. Step 5: Solve for x
    x = 95,975,834.46/10,642.60
  6. Step 6: Final answer
    x = 9,018.08

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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.