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Finding the Fourth Proportional to 10,356.50, 14,292.78 and 5,881.66

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Solution

The fourth proportional to 10,356.50, 14,292.78 and 5,881.66 is: 8,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.50 : 14,292.78 = 5,881.66 : x
  2. Step 2: Convert to fraction form
    10,356.50/14,292.78 = 5,881.66/x
  3. Step 3: Cross multiply
    10,356.50x = 14,292.78 × 5,881.66
  4. Step 4: Simplify right side
    10,356.50x = 84,065,236.68
  5. Step 5: Solve for x
    x = 84,065,236.68/10,356.50
  6. Step 6: Final answer
    x = 8,117.15

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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.