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Finding the Fourth Proportional to 8,488.74, 12,741.75 and 6,026.34

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Solution

The fourth proportional to 8,488.74, 12,741.75 and 6,026.34 is: 9,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.74 : 12,741.75 = 6,026.34 : x
  2. Step 2: Convert to fraction form
    8,488.74/12,741.75 = 6,026.34/x
  3. Step 3: Cross multiply
    8,488.74x = 12,741.75 × 6,026.34
  4. Step 4: Simplify right side
    8,488.74x = 76,786,117.70
  5. Step 5: Solve for x
    x = 76,786,117.70/8,488.74
  6. Step 6: Final answer
    x = 9,045.64

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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.