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Finding the Fourth Proportional to 7,876.98, 10,865.42 and 4,688.14

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Solution

The fourth proportional to 7,876.98, 10,865.42 and 4,688.14 is: 6,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.98 : 10,865.42 = 4,688.14 : x
  2. Step 2: Convert to fraction form
    7,876.98/10,865.42 = 4,688.14/x
  3. Step 3: Cross multiply
    7,876.98x = 10,865.42 × 4,688.14
  4. Step 4: Simplify right side
    7,876.98x = 50,938,610.12
  5. Step 5: Solve for x
    x = 50,938,610.12/7,876.98
  6. Step 6: Final answer
    x = 6,466.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.