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Finding the Fourth Proportional to 10,311.90, 15,460.56 and 5,048.52

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Solution

The fourth proportional to 10,311.90, 15,460.56 and 5,048.52 is: 7,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.90 : 15,460.56 = 5,048.52 : x
  2. Step 2: Convert to fraction form
    10,311.90/15,460.56 = 5,048.52/x
  3. Step 3: Cross multiply
    10,311.90x = 15,460.56 × 5,048.52
  4. Step 4: Simplify right side
    10,311.90x = 78,052,946.37
  5. Step 5: Solve for x
    x = 78,052,946.37/10,311.90
  6. Step 6: Final answer
    x = 7,569.21

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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.