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Finding the Fourth Proportional to 7,348.97, 10,141.58 and 4,205.16

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Solution

The fourth proportional to 7,348.97, 10,141.58 and 4,205.16 is: 5,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.97 : 10,141.58 = 4,205.16 : x
  2. Step 2: Convert to fraction form
    7,348.97/10,141.58 = 4,205.16/x
  3. Step 3: Cross multiply
    7,348.97x = 10,141.58 × 4,205.16
  4. Step 4: Simplify right side
    7,348.97x = 42,646,945.53
  5. Step 5: Solve for x
    x = 42,646,945.53/7,348.97
  6. Step 6: Final answer
    x = 5,803.12

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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.