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Finding the Fourth Proportional to 10,076, 13,908.32 and 6,250.56

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Solution

The fourth proportional to 10,076, 13,908.32 and 6,250.56 is: 8,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076 : 13,908.32 = 6,250.56 : x
  2. Step 2: Convert to fraction form
    10,076/13,908.32 = 6,250.56/x
  3. Step 3: Cross multiply
    10,076x = 13,908.32 × 6,250.56
  4. Step 4: Simplify right side
    10,076x = 86,934,788.66
  5. Step 5: Solve for x
    x = 86,934,788.66/10,076
  6. Step 6: Final answer
    x = 8,627.91

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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.