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Finding the Fourth Proportional to 7,304.09, 10,077.75 and 4,470.44

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Solution

The fourth proportional to 7,304.09, 10,077.75 and 4,470.44 is: 6,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.09 : 10,077.75 = 4,470.44 : x
  2. Step 2: Convert to fraction form
    7,304.09/10,077.75 = 4,470.44/x
  3. Step 3: Cross multiply
    7,304.09x = 10,077.75 × 4,470.44
  4. Step 4: Simplify right side
    7,304.09x = 45,051,926.32
  5. Step 5: Solve for x
    x = 45,051,926.32/7,304.09
  6. Step 6: Final answer
    x = 6,168.05

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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.