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Finding the Fourth Proportional to 7,077.60, 10,607.28 and 3,792

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Solution

The fourth proportional to 7,077.60, 10,607.28 and 3,792 is: 5,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.60 : 10,607.28 = 3,792 : x
  2. Step 2: Convert to fraction form
    7,077.60/10,607.28 = 3,792/x
  3. Step 3: Cross multiply
    7,077.60x = 10,607.28 × 3,792
  4. Step 4: Simplify right side
    7,077.60x = 40,222,805.76
  5. Step 5: Solve for x
    x = 40,222,805.76/7,077.60
  6. Step 6: Final answer
    x = 5,683.11

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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.