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Finding the Fourth Proportional to 10,283.48, 15,423.26 and 5,013.20

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Solution

The fourth proportional to 10,283.48, 15,423.26 and 5,013.20 is: 7,518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.48 : 15,423.26 = 5,013.20 : x
  2. Step 2: Convert to fraction form
    10,283.48/15,423.26 = 5,013.20/x
  3. Step 3: Cross multiply
    10,283.48x = 15,423.26 × 5,013.20
  4. Step 4: Simplify right side
    10,283.48x = 77,319,784.85
  5. Step 5: Solve for x
    x = 77,319,784.85/10,283.48
  6. Step 6: Final answer
    x = 7,518.84

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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.