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Finding the Fourth Proportional to 6,987.45, 10,478.95 and 2,306.59

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Solution

The fourth proportional to 6,987.45, 10,478.95 and 2,306.59 is: 3,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.45 : 10,478.95 = 2,306.59 : x
  2. Step 2: Convert to fraction form
    6,987.45/10,478.95 = 2,306.59/x
  3. Step 3: Cross multiply
    6,987.45x = 10,478.95 × 2,306.59
  4. Step 4: Simplify right side
    6,987.45x = 24,170,635.51
  5. Step 5: Solve for x
    x = 24,170,635.51/6,987.45
  6. Step 6: Final answer
    x = 3,459.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.