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Finding the Fourth Proportional to 8,066.58, 12,103 and 3,139.68

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Solution

The fourth proportional to 8,066.58, 12,103 and 3,139.68 is: 4,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.58 : 12,103 = 3,139.68 : x
  2. Step 2: Convert to fraction form
    8,066.58/12,103 = 3,139.68/x
  3. Step 3: Cross multiply
    8,066.58x = 12,103 × 3,139.68
  4. Step 4: Simplify right side
    8,066.58x = 37,999,547.04
  5. Step 5: Solve for x
    x = 37,999,547.04/8,066.58
  6. Step 6: Final answer
    x = 4,710.74

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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.