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Finding the Fourth Proportional to 10,244.80, 15,365.28 and 6,136

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Solution

The fourth proportional to 10,244.80, 15,365.28 and 6,136 is: 9,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.80 : 15,365.28 = 6,136 : x
  2. Step 2: Convert to fraction form
    10,244.80/15,365.28 = 6,136/x
  3. Step 3: Cross multiply
    10,244.80x = 15,365.28 × 6,136
  4. Step 4: Simplify right side
    10,244.80x = 94,281,358.08
  5. Step 5: Solve for x
    x = 94,281,358.08/10,244.80
  6. Step 6: Final answer
    x = 9,202.85

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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.