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Finding the Fourth Proportional to 7,535.61, 11,305.89 and 3,154.32

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Solution

The fourth proportional to 7,535.61, 11,305.89 and 3,154.32 is: 4,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.61 : 11,305.89 = 3,154.32 : x
  2. Step 2: Convert to fraction form
    7,535.61/11,305.89 = 3,154.32/x
  3. Step 3: Cross multiply
    7,535.61x = 11,305.89 × 3,154.32
  4. Step 4: Simplify right side
    7,535.61x = 35,662,394.94
  5. Step 5: Solve for x
    x = 35,662,394.94/7,535.61
  6. Step 6: Final answer
    x = 4,732.52

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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.