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Finding the Fourth Proportional to 10,060.46, 15,085.82 and 4,215.50

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Solution

The fourth proportional to 10,060.46, 15,085.82 and 4,215.50 is: 6,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.46 : 15,085.82 = 4,215.50 : x
  2. Step 2: Convert to fraction form
    10,060.46/15,085.82 = 4,215.50/x
  3. Step 3: Cross multiply
    10,060.46x = 15,085.82 × 4,215.50
  4. Step 4: Simplify right side
    10,060.46x = 63,594,209.32
  5. Step 5: Solve for x
    x = 63,594,209.32/10,060.46
  6. Step 6: Final answer
    x = 6,321.21

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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.