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Finding the Fourth Proportional to 10,063.46, 15,095.19 and 3,138.50

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Solution

The fourth proportional to 10,063.46, 15,095.19 and 3,138.50 is: 4,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.46 : 15,095.19 = 3,138.50 : x
  2. Step 2: Convert to fraction form
    10,063.46/15,095.19 = 3,138.50/x
  3. Step 3: Cross multiply
    10,063.46x = 15,095.19 × 3,138.50
  4. Step 4: Simplify right side
    10,063.46x = 47,376,253.82
  5. Step 5: Solve for x
    x = 47,376,253.82/10,063.46
  6. Step 6: Final answer
    x = 4,707.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.