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Finding the Fourth Proportional to 10,358.40, 15,537.60 and 7,442.40

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Solution

The fourth proportional to 10,358.40, 15,537.60 and 7,442.40 is: 11,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.40 : 15,537.60 = 7,442.40 : x
  2. Step 2: Convert to fraction form
    10,358.40/15,537.60 = 7,442.40/x
  3. Step 3: Cross multiply
    10,358.40x = 15,537.60 × 7,442.40
  4. Step 4: Simplify right side
    10,358.40x = 115,637,034.24
  5. Step 5: Solve for x
    x = 115,637,034.24/10,358.40
  6. Step 6: Final answer
    x = 11,163.60

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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.