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Finding the Fourth Proportional to 7,460.56, 10,294.12 and 4,475.31

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Solution

The fourth proportional to 7,460.56, 10,294.12 and 4,475.31 is: 6,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.56 : 10,294.12 = 4,475.31 : x
  2. Step 2: Convert to fraction form
    7,460.56/10,294.12 = 4,475.31/x
  3. Step 3: Cross multiply
    7,460.56x = 10,294.12 × 4,475.31
  4. Step 4: Simplify right side
    7,460.56x = 46,069,378.18
  5. Step 5: Solve for x
    x = 46,069,378.18/7,460.56
  6. Step 6: Final answer
    x = 6,175.06

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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.