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Finding the Fourth Proportional to 10,055.52, 15,080.84 and 4,216.50

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Solution

The fourth proportional to 10,055.52, 15,080.84 and 4,216.50 is: 6,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.52 : 15,080.84 = 4,216.50 : x
  2. Step 2: Convert to fraction form
    10,055.52/15,080.84 = 4,216.50/x
  3. Step 3: Cross multiply
    10,055.52x = 15,080.84 × 4,216.50
  4. Step 4: Simplify right side
    10,055.52x = 63,588,361.86
  5. Step 5: Solve for x
    x = 63,588,361.86/10,055.52
  6. Step 6: Final answer
    x = 6,323.73

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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.