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Finding the Fourth Proportional to 7,748.40, 10,697.94 and 5,952.68

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Solution

The fourth proportional to 7,748.40, 10,697.94 and 5,952.68 is: 8,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.40 : 10,697.94 = 5,952.68 : x
  2. Step 2: Convert to fraction form
    7,748.40/10,697.94 = 5,952.68/x
  3. Step 3: Cross multiply
    7,748.40x = 10,697.94 × 5,952.68
  4. Step 4: Simplify right side
    7,748.40x = 63,681,462.55
  5. Step 5: Solve for x
    x = 63,681,462.55/7,748.40
  6. Step 6: Final answer
    x = 8,218.66

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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.