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Finding the Fourth Proportional to 8,038.74, 12,043.13 and 4,742.04

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Solution

The fourth proportional to 8,038.74, 12,043.13 and 4,742.04 is: 7,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.74 : 12,043.13 = 4,742.04 : x
  2. Step 2: Convert to fraction form
    8,038.74/12,043.13 = 4,742.04/x
  3. Step 3: Cross multiply
    8,038.74x = 12,043.13 × 4,742.04
  4. Step 4: Simplify right side
    8,038.74x = 57,108,980.48
  5. Step 5: Solve for x
    x = 57,108,980.48/8,038.74
  6. Step 6: Final answer
    x = 7,104.22

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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.