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Finding the Fourth Proportional to 10,599.60, 14,626.40 and 5,883.38

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Solution

The fourth proportional to 10,599.60, 14,626.40 and 5,883.38 is: 8,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.60 : 14,626.40 = 5,883.38 : x
  2. Step 2: Convert to fraction form
    10,599.60/14,626.40 = 5,883.38/x
  3. Step 3: Cross multiply
    10,599.60x = 14,626.40 × 5,883.38
  4. Step 4: Simplify right side
    10,599.60x = 86,052,566.68
  5. Step 5: Solve for x
    x = 86,052,566.68/10,599.60
  6. Step 6: Final answer
    x = 8,118.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.