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Finding the Fourth Proportional to 7,876.62, 11,814.99 and 4,587.60

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Solution

The fourth proportional to 7,876.62, 11,814.99 and 4,587.60 is: 6,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.62 : 11,814.99 = 4,587.60 : x
  2. Step 2: Convert to fraction form
    7,876.62/11,814.99 = 4,587.60/x
  3. Step 3: Cross multiply
    7,876.62x = 11,814.99 × 4,587.60
  4. Step 4: Simplify right side
    7,876.62x = 54,202,448.12
  5. Step 5: Solve for x
    x = 54,202,448.12/7,876.62
  6. Step 6: Final answer
    x = 6,881.43

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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.