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Finding the Fourth Proportional to 7,988.14, 11,023.14 and 4,451.50

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Solution

The fourth proportional to 7,988.14, 11,023.14 and 4,451.50 is: 6,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.14 : 11,023.14 = 4,451.50 : x
  2. Step 2: Convert to fraction form
    7,988.14/11,023.14 = 4,451.50/x
  3. Step 3: Cross multiply
    7,988.14x = 11,023.14 × 4,451.50
  4. Step 4: Simplify right side
    7,988.14x = 49,069,507.71
  5. Step 5: Solve for x
    x = 49,069,507.71/7,988.14
  6. Step 6: Final answer
    x = 6,142.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.