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Finding the Fourth Proportional to 10,282.30, 15,425.70 and 4,042.30

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Solution

The fourth proportional to 10,282.30, 15,425.70 and 4,042.30 is: 6,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.30 : 15,425.70 = 4,042.30 : x
  2. Step 2: Convert to fraction form
    10,282.30/15,425.70 = 4,042.30/x
  3. Step 3: Cross multiply
    10,282.30x = 15,425.70 × 4,042.30
  4. Step 4: Simplify right side
    10,282.30x = 62,355,307.11
  5. Step 5: Solve for x
    x = 62,355,307.11/10,282.30
  6. Step 6: Final answer
    x = 6,064.33

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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.