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Finding the Fourth Proportional to 10,538.19, 14,542.61 and 5,822.19

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Solution

The fourth proportional to 10,538.19, 14,542.61 and 5,822.19 is: 8,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.19 : 14,542.61 = 5,822.19 : x
  2. Step 2: Convert to fraction form
    10,538.19/14,542.61 = 5,822.19/x
  3. Step 3: Cross multiply
    10,538.19x = 14,542.61 × 5,822.19
  4. Step 4: Simplify right side
    10,538.19x = 84,669,809.40
  5. Step 5: Solve for x
    x = 84,669,809.40/10,538.19
  6. Step 6: Final answer
    x = 8,034.57

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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.