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Finding the Fourth Proportional to 7,348.30, 10,960.46 and 6,164.48

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Solution

The fourth proportional to 7,348.30, 10,960.46 and 6,164.48 is: 9,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.30 : 10,960.46 = 6,164.48 : x
  2. Step 2: Convert to fraction form
    7,348.30/10,960.46 = 6,164.48/x
  3. Step 3: Cross multiply
    7,348.30x = 10,960.46 × 6,164.48
  4. Step 4: Simplify right side
    7,348.30x = 67,565,536.46
  5. Step 5: Solve for x
    x = 67,565,536.46/7,348.30
  6. Step 6: Final answer
    x = 9,194.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.