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Finding the Fourth Proportional to 10,599.60, 14,626.90 and 5,883.76

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Solution

The fourth proportional to 10,599.60, 14,626.90 and 5,883.76 is: 8,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.60 : 14,626.90 = 5,883.76 : x
  2. Step 2: Convert to fraction form
    10,599.60/14,626.90 = 5,883.76/x
  3. Step 3: Cross multiply
    10,599.60x = 14,626.90 × 5,883.76
  4. Step 4: Simplify right side
    10,599.60x = 86,061,169.14
  5. Step 5: Solve for x
    x = 86,061,169.14/10,599.60
  6. Step 6: Final answer
    x = 8,119.28

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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.