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Finding the Fourth Proportional to 7,864.92, 10,854.44 and 4,506.64

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Solution

The fourth proportional to 7,864.92, 10,854.44 and 4,506.64 is: 6,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.92 : 10,854.44 = 4,506.64 : x
  2. Step 2: Convert to fraction form
    7,864.92/10,854.44 = 4,506.64/x
  3. Step 3: Cross multiply
    7,864.92x = 10,854.44 × 4,506.64
  4. Step 4: Simplify right side
    7,864.92x = 48,917,053.48
  5. Step 5: Solve for x
    x = 48,917,053.48/7,864.92
  6. Step 6: Final answer
    x = 6,219.65

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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.