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Finding the Fourth Proportional to 7,112.68, 10,669.08 and 6,577

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Solution

The fourth proportional to 7,112.68, 10,669.08 and 6,577 is: 9,865.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.68 : 10,669.08 = 6,577 : x
  2. Step 2: Convert to fraction form
    7,112.68/10,669.08 = 6,577/x
  3. Step 3: Cross multiply
    7,112.68x = 10,669.08 × 6,577
  4. Step 4: Simplify right side
    7,112.68x = 70,170,539.16
  5. Step 5: Solve for x
    x = 70,170,539.16/7,112.68
  6. Step 6: Final answer
    x = 9,865.56

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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.