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Finding the Fourth Proportional to 7,290.64, 10,061.10 and 4,146.88

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Solution

The fourth proportional to 7,290.64, 10,061.10 and 4,146.88 is: 5,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.64 : 10,061.10 = 4,146.88 : x
  2. Step 2: Convert to fraction form
    7,290.64/10,061.10 = 4,146.88/x
  3. Step 3: Cross multiply
    7,290.64x = 10,061.10 × 4,146.88
  4. Step 4: Simplify right side
    7,290.64x = 41,722,174.37
  5. Step 5: Solve for x
    x = 41,722,174.37/7,290.64
  6. Step 6: Final answer
    x = 5,722.70

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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.