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Finding the Fourth Proportional to 10,041.64, 15,062.06 and 4,779.21

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Solution

The fourth proportional to 10,041.64, 15,062.06 and 4,779.21 is: 7,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.64 : 15,062.06 = 4,779.21 : x
  2. Step 2: Convert to fraction form
    10,041.64/15,062.06 = 4,779.21/x
  3. Step 3: Cross multiply
    10,041.64x = 15,062.06 × 4,779.21
  4. Step 4: Simplify right side
    10,041.64x = 71,984,648.57
  5. Step 5: Solve for x
    x = 71,984,648.57/10,041.64
  6. Step 6: Final answer
    x = 7,168.61

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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.