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Finding the Fourth Proportional to 7,298.61, 10,947.92 and 2,033.64

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Solution

The fourth proportional to 7,298.61, 10,947.92 and 2,033.64 is: 3,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.61 : 10,947.92 = 2,033.64 : x
  2. Step 2: Convert to fraction form
    7,298.61/10,947.92 = 2,033.64/x
  3. Step 3: Cross multiply
    7,298.61x = 10,947.92 × 2,033.64
  4. Step 4: Simplify right side
    7,298.61x = 22,264,073.29
  5. Step 5: Solve for x
    x = 22,264,073.29/7,298.61
  6. Step 6: Final answer
    x = 3,050.45

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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.