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Finding the Fourth Proportional to 10,262.40, 15,394.08 and 5,328.92

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Solution

The fourth proportional to 10,262.40, 15,394.08 and 5,328.92 is: 7,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.40 : 15,394.08 = 5,328.92 : x
  2. Step 2: Convert to fraction form
    10,262.40/15,394.08 = 5,328.92/x
  3. Step 3: Cross multiply
    10,262.40x = 15,394.08 × 5,328.92
  4. Step 4: Simplify right side
    10,262.40x = 82,033,820.79
  5. Step 5: Solve for x
    x = 82,033,820.79/10,262.40
  6. Step 6: Final answer
    x = 7,993.63

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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.