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Finding the Fourth Proportional to 7,466.65, 10,304.27 and 4,109.72

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Solution

The fourth proportional to 7,466.65, 10,304.27 and 4,109.72 is: 5,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.65 : 10,304.27 = 4,109.72 : x
  2. Step 2: Convert to fraction form
    7,466.65/10,304.27 = 4,109.72/x
  3. Step 3: Cross multiply
    7,466.65x = 10,304.27 × 4,109.72
  4. Step 4: Simplify right side
    7,466.65x = 42,347,623.26
  5. Step 5: Solve for x
    x = 42,347,623.26/7,466.65
  6. Step 6: Final answer
    x = 5,671.57

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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.