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Finding the Fourth Proportional to 10,264.51, 15,391.98 and 5,332.83

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Solution

The fourth proportional to 10,264.51, 15,391.98 and 5,332.83 is: 7,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.51 : 15,391.98 = 5,332.83 : x
  2. Step 2: Convert to fraction form
    10,264.51/15,391.98 = 5,332.83/x
  3. Step 3: Cross multiply
    10,264.51x = 15,391.98 × 5,332.83
  4. Step 4: Simplify right side
    10,264.51x = 82,082,735.74
  5. Step 5: Solve for x
    x = 82,082,735.74/10,264.51
  6. Step 6: Final answer
    x = 7,996.75

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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.