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Finding the Fourth Proportional to 7,588.52, 11,382.25 and 2,041.74

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Solution

The fourth proportional to 7,588.52, 11,382.25 and 2,041.74 is: 3,062.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.52 : 11,382.25 = 2,041.74 : x
  2. Step 2: Convert to fraction form
    7,588.52/11,382.25 = 2,041.74/x
  3. Step 3: Cross multiply
    7,588.52x = 11,382.25 × 2,041.74
  4. Step 4: Simplify right side
    7,588.52x = 23,239,595.12
  5. Step 5: Solve for x
    x = 23,239,595.12/7,588.52
  6. Step 6: Final answer
    x = 3,062.47

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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.