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Finding the Fourth Proportional to 7,294.42, 10,931.37 and 4,169.74

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Solution

The fourth proportional to 7,294.42, 10,931.37 and 4,169.74 is: 6,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.42 : 10,931.37 = 4,169.74 : x
  2. Step 2: Convert to fraction form
    7,294.42/10,931.37 = 4,169.74/x
  3. Step 3: Cross multiply
    7,294.42x = 10,931.37 × 4,169.74
  4. Step 4: Simplify right side
    7,294.42x = 45,580,969.51
  5. Step 5: Solve for x
    x = 45,580,969.51/7,294.42
  6. Step 6: Final answer
    x = 6,248.75

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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.