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Finding the Fourth Proportional to 7,167.68, 10,746.05 and 4,051.21

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Solution

The fourth proportional to 7,167.68, 10,746.05 and 4,051.21 is: 6,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.68 : 10,746.05 = 4,051.21 : x
  2. Step 2: Convert to fraction form
    7,167.68/10,746.05 = 4,051.21/x
  3. Step 3: Cross multiply
    7,167.68x = 10,746.05 × 4,051.21
  4. Step 4: Simplify right side
    7,167.68x = 43,534,488.48
  5. Step 5: Solve for x
    x = 43,534,488.48/7,167.68
  6. Step 6: Final answer
    x = 6,073.72

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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.