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Finding the Fourth Proportional to 10,542.30, 15,814.10 and 3,880.59

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Solution

The fourth proportional to 10,542.30, 15,814.10 and 3,880.59 is: 5,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.30 : 15,814.10 = 3,880.59 : x
  2. Step 2: Convert to fraction form
    10,542.30/15,814.10 = 3,880.59/x
  3. Step 3: Cross multiply
    10,542.30x = 15,814.10 × 3,880.59
  4. Step 4: Simplify right side
    10,542.30x = 61,368,038.32
  5. Step 5: Solve for x
    x = 61,368,038.32/10,542.30
  6. Step 6: Final answer
    x = 5,821.12

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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.