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Finding the Fourth Proportional to 10,357.23, 14,292.55 and 5,881.23

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Solution

The fourth proportional to 10,357.23, 14,292.55 and 5,881.23 is: 8,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.23 : 14,292.55 = 5,881.23 : x
  2. Step 2: Convert to fraction form
    10,357.23/14,292.55 = 5,881.23/x
  3. Step 3: Cross multiply
    10,357.23x = 14,292.55 × 5,881.23
  4. Step 4: Simplify right side
    10,357.23x = 84,057,773.84
  5. Step 5: Solve for x
    x = 84,057,773.84/10,357.23
  6. Step 6: Final answer
    x = 8,115.85

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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.