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Finding the Fourth Proportional to 10,580.38, 15,871.22 and 3,559.81

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Solution

The fourth proportional to 10,580.38, 15,871.22 and 3,559.81 is: 5,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.38 : 15,871.22 = 3,559.81 : x
  2. Step 2: Convert to fraction form
    10,580.38/15,871.22 = 3,559.81/x
  3. Step 3: Cross multiply
    10,580.38x = 15,871.22 × 3,559.81
  4. Step 4: Simplify right side
    10,580.38x = 56,498,483.22
  5. Step 5: Solve for x
    x = 56,498,483.22/10,580.38
  6. Step 6: Final answer
    x = 5,339.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.