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Finding the Fourth Proportional to 7,302.52, 10,077.16 and 4,474.60

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Solution

The fourth proportional to 7,302.52, 10,077.16 and 4,474.60 is: 6,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.52 : 10,077.16 = 4,474.60 : x
  2. Step 2: Convert to fraction form
    7,302.52/10,077.16 = 4,474.60/x
  3. Step 3: Cross multiply
    7,302.52x = 10,077.16 × 4,474.60
  4. Step 4: Simplify right side
    7,302.52x = 45,091,260.14
  5. Step 5: Solve for x
    x = 45,091,260.14/7,302.52
  6. Step 6: Final answer
    x = 6,174.75

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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.