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Finding the Fourth Proportional to 7,348.64, 10,142.16 and 4,555.04

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Solution

The fourth proportional to 7,348.64, 10,142.16 and 4,555.04 is: 6,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.64 : 10,142.16 = 4,555.04 : x
  2. Step 2: Convert to fraction form
    7,348.64/10,142.16 = 4,555.04/x
  3. Step 3: Cross multiply
    7,348.64x = 10,142.16 × 4,555.04
  4. Step 4: Simplify right side
    7,348.64x = 46,197,944.49
  5. Step 5: Solve for x
    x = 46,197,944.49/7,348.64
  6. Step 6: Final answer
    x = 6,286.60

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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.