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Finding the Fourth Proportional to 10,225.77, 15,347.07 and 5,296.92

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Solution

The fourth proportional to 10,225.77, 15,347.07 and 5,296.92 is: 7,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.77 : 15,347.07 = 5,296.92 : x
  2. Step 2: Convert to fraction form
    10,225.77/15,347.07 = 5,296.92/x
  3. Step 3: Cross multiply
    10,225.77x = 15,347.07 × 5,296.92
  4. Step 4: Simplify right side
    10,225.77x = 81,292,202.02
  5. Step 5: Solve for x
    x = 81,292,202.02/10,225.77
  6. Step 6: Final answer
    x = 7,949.74

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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.