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Finding the Fourth Proportional to 10,101.46, 15,153.03 and 3,080.83

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Solution

The fourth proportional to 10,101.46, 15,153.03 and 3,080.83 is: 4,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.46 : 15,153.03 = 3,080.83 : x
  2. Step 2: Convert to fraction form
    10,101.46/15,153.03 = 3,080.83/x
  3. Step 3: Cross multiply
    10,101.46x = 15,153.03 × 3,080.83
  4. Step 4: Simplify right side
    10,101.46x = 46,683,909.41
  5. Step 5: Solve for x
    x = 46,683,909.41/10,101.46
  6. Step 6: Final answer
    x = 4,621.50

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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.