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Finding the Fourth Proportional to 10,298.13, 15,449.76 and 4,755.33

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Solution

The fourth proportional to 10,298.13, 15,449.76 and 4,755.33 is: 7,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.13 : 15,449.76 = 4,755.33 : x
  2. Step 2: Convert to fraction form
    10,298.13/15,449.76 = 4,755.33/x
  3. Step 3: Cross multiply
    10,298.13x = 15,449.76 × 4,755.33
  4. Step 4: Simplify right side
    10,298.13x = 73,468,707.22
  5. Step 5: Solve for x
    x = 73,468,707.22/10,298.13
  6. Step 6: Final answer
    x = 7,134.18

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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.