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Finding the Fourth Proportional to 10,048.35, 15,070.64 and 3,474.57

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Solution

The fourth proportional to 10,048.35, 15,070.64 and 3,474.57 is: 5,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.35 : 15,070.64 = 3,474.57 : x
  2. Step 2: Convert to fraction form
    10,048.35/15,070.64 = 3,474.57/x
  3. Step 3: Cross multiply
    10,048.35x = 15,070.64 × 3,474.57
  4. Step 4: Simplify right side
    10,048.35x = 52,363,976.25
  5. Step 5: Solve for x
    x = 52,363,976.25/10,048.35
  6. Step 6: Final answer
    x = 5,211.20

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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.