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Finding the Fourth Proportional to 10,358.57, 14,294.34 and 5,881.74

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Solution

The fourth proportional to 10,358.57, 14,294.34 and 5,881.74 is: 8,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.57 : 14,294.34 = 5,881.74 : x
  2. Step 2: Convert to fraction form
    10,358.57/14,294.34 = 5,881.74/x
  3. Step 3: Cross multiply
    10,358.57x = 14,294.34 × 5,881.74
  4. Step 4: Simplify right side
    10,358.57x = 84,075,591.35
  5. Step 5: Solve for x
    x = 84,075,591.35/10,358.57
  6. Step 6: Final answer
    x = 8,116.52

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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.