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Finding the Fourth Proportional to 7,460.88, 10,296.31 and 4,475.62

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Solution

The fourth proportional to 7,460.88, 10,296.31 and 4,475.62 is: 6,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.88 : 10,296.31 = 4,475.62 : x
  2. Step 2: Convert to fraction form
    7,460.88/10,296.31 = 4,475.62/x
  3. Step 3: Cross multiply
    7,460.88x = 10,296.31 × 4,475.62
  4. Step 4: Simplify right side
    7,460.88x = 46,082,370.96
  5. Step 5: Solve for x
    x = 46,082,370.96/7,460.88
  6. Step 6: Final answer
    x = 6,176.53

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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.