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Finding the Fourth Proportional to 10,047.74, 15,059.66 and 7,574.40

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Solution

The fourth proportional to 10,047.74, 15,059.66 and 7,574.40 is: 11,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.74 : 15,059.66 = 7,574.40 : x
  2. Step 2: Convert to fraction form
    10,047.74/15,059.66 = 7,574.40/x
  3. Step 3: Cross multiply
    10,047.74x = 15,059.66 × 7,574.40
  4. Step 4: Simplify right side
    10,047.74x = 114,067,850.83
  5. Step 5: Solve for x
    x = 114,067,850.83/10,047.74
  6. Step 6: Final answer
    x = 11,352.59

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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.