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Finding the Fourth Proportional to 10,281.38, 15,384.18 and 7,270.52

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Solution

The fourth proportional to 10,281.38, 15,384.18 and 7,270.52 is: 10,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.38 : 15,384.18 = 7,270.52 : x
  2. Step 2: Convert to fraction form
    10,281.38/15,384.18 = 7,270.52/x
  3. Step 3: Cross multiply
    10,281.38x = 15,384.18 × 7,270.52
  4. Step 4: Simplify right side
    10,281.38x = 111,850,988.37
  5. Step 5: Solve for x
    x = 111,850,988.37/10,281.38
  6. Step 6: Final answer
    x = 10,878.99

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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.