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Finding the Fourth Proportional to 10,225.59, 14,111.25 and 5,749.13

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Solution

The fourth proportional to 10,225.59, 14,111.25 and 5,749.13 is: 7,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.59 : 14,111.25 = 5,749.13 : x
  2. Step 2: Convert to fraction form
    10,225.59/14,111.25 = 5,749.13/x
  3. Step 3: Cross multiply
    10,225.59x = 14,111.25 × 5,749.13
  4. Step 4: Simplify right side
    10,225.59x = 81,127,340.16
  5. Step 5: Solve for x
    x = 81,127,340.16/10,225.59
  6. Step 6: Final answer
    x = 7,933.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.