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Finding the Fourth Proportional to 7,785.65, 11,671.53 and 2,854.14

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Solution

The fourth proportional to 7,785.65, 11,671.53 and 2,854.14 is: 4,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.65 : 11,671.53 = 2,854.14 : x
  2. Step 2: Convert to fraction form
    7,785.65/11,671.53 = 2,854.14/x
  3. Step 3: Cross multiply
    7,785.65x = 11,671.53 × 2,854.14
  4. Step 4: Simplify right side
    7,785.65x = 33,312,129.73
  5. Step 5: Solve for x
    x = 33,312,129.73/7,785.65
  6. Step 6: Final answer
    x = 4,278.66

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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.