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Finding the Fourth Proportional to 7,864.87, 10,853.52 and 4,328.08

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Solution

The fourth proportional to 7,864.87, 10,853.52 and 4,328.08 is: 5,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.87 : 10,853.52 = 4,328.08 : x
  2. Step 2: Convert to fraction form
    7,864.87/10,853.52 = 4,328.08/x
  3. Step 3: Cross multiply
    7,864.87x = 10,853.52 × 4,328.08
  4. Step 4: Simplify right side
    7,864.87x = 46,974,826.93
  5. Step 5: Solve for x
    x = 46,974,826.93/7,864.87
  6. Step 6: Final answer
    x = 5,972.74

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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.