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Finding the Fourth Proportional to 7,864.92, 10,853.60 and 4,328.06

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Solution

The fourth proportional to 7,864.92, 10,853.60 and 4,328.06 is: 5,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.92 : 10,853.60 = 4,328.06 : x
  2. Step 2: Convert to fraction form
    7,864.92/10,853.60 = 4,328.06/x
  3. Step 3: Cross multiply
    7,864.92x = 10,853.60 × 4,328.06
  4. Step 4: Simplify right side
    7,864.92x = 46,974,956.11
  5. Step 5: Solve for x
    x = 46,974,956.11/7,864.92
  6. Step 6: Final answer
    x = 5,972.72

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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.