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Finding the Fourth Proportional to 7,854.14, 11,776.76 and 2,587.74

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Solution

The fourth proportional to 7,854.14, 11,776.76 and 2,587.74 is: 3,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.14 : 11,776.76 = 2,587.74 : x
  2. Step 2: Convert to fraction form
    7,854.14/11,776.76 = 2,587.74/x
  3. Step 3: Cross multiply
    7,854.14x = 11,776.76 × 2,587.74
  4. Step 4: Simplify right side
    7,854.14x = 30,475,192.92
  5. Step 5: Solve for x
    x = 30,475,192.92/7,854.14
  6. Step 6: Final answer
    x = 3,880.14

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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.