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Finding the Fourth Proportional to 7,854.84, 11,786.85 and 2,927.88

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Solution

The fourth proportional to 7,854.84, 11,786.85 and 2,927.88 is: 4,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.84 : 11,786.85 = 2,927.88 : x
  2. Step 2: Convert to fraction form
    7,854.84/11,786.85 = 2,927.88/x
  3. Step 3: Cross multiply
    7,854.84x = 11,786.85 × 2,927.88
  4. Step 4: Simplify right side
    7,854.84x = 34,510,482.38
  5. Step 5: Solve for x
    x = 34,510,482.38/7,854.84
  6. Step 6: Final answer
    x = 4,393.53

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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.