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Finding the Fourth Proportional to 10,522.25, 15,784.07 and 3,948.61

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Solution

The fourth proportional to 10,522.25, 15,784.07 and 3,948.61 is: 5,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.25 : 15,784.07 = 3,948.61 : x
  2. Step 2: Convert to fraction form
    10,522.25/15,784.07 = 3,948.61/x
  3. Step 3: Cross multiply
    10,522.25x = 15,784.07 × 3,948.61
  4. Step 4: Simplify right side
    10,522.25x = 62,325,129.23
  5. Step 5: Solve for x
    x = 62,325,129.23/10,522.25
  6. Step 6: Final answer
    x = 5,923.17

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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.