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Finding the Fourth Proportional to 7,464.16, 10,304.04 and 4,319.74

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Solution

The fourth proportional to 7,464.16, 10,304.04 and 4,319.74 is: 5,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.16 : 10,304.04 = 4,319.74 : x
  2. Step 2: Convert to fraction form
    7,464.16/10,304.04 = 4,319.74/x
  3. Step 3: Cross multiply
    7,464.16x = 10,304.04 × 4,319.74
  4. Step 4: Simplify right side
    7,464.16x = 44,510,773.75
  5. Step 5: Solve for x
    x = 44,510,773.75/7,464.16
  6. Step 6: Final answer
    x = 5,963.27

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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.