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Finding the Fourth Proportional to 10,232.17, 15,348.26 and 4,603.26

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Solution

The fourth proportional to 10,232.17, 15,348.26 and 4,603.26 is: 6,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.17 : 15,348.26 = 4,603.26 : x
  2. Step 2: Convert to fraction form
    10,232.17/15,348.26 = 4,603.26/x
  3. Step 3: Cross multiply
    10,232.17x = 15,348.26 × 4,603.26
  4. Step 4: Simplify right side
    10,232.17x = 70,652,046.68
  5. Step 5: Solve for x
    x = 70,652,046.68/10,232.17
  6. Step 6: Final answer
    x = 6,904.90

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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.