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Finding the Fourth Proportional to 7,876.56, 11,814.48 and 2,330.04

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Solution

The fourth proportional to 7,876.56, 11,814.48 and 2,330.04 is: 3,494.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.56 : 11,814.48 = 2,330.04 : x
  2. Step 2: Convert to fraction form
    7,876.56/11,814.48 = 2,330.04/x
  3. Step 3: Cross multiply
    7,876.56x = 11,814.48 × 2,330.04
  4. Step 4: Simplify right side
    7,876.56x = 27,528,210.98
  5. Step 5: Solve for x
    x = 27,528,210.98/7,876.56
  6. Step 6: Final answer
    x = 3,494.95

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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.