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Finding the Fourth Proportional to 7,463.48, 10,291.74 and 6,405.08

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Solution

The fourth proportional to 7,463.48, 10,291.74 and 6,405.08 is: 8,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.48 : 10,291.74 = 6,405.08 : x
  2. Step 2: Convert to fraction form
    7,463.48/10,291.74 = 6,405.08/x
  3. Step 3: Cross multiply
    7,463.48x = 10,291.74 × 6,405.08
  4. Step 4: Simplify right side
    7,463.48x = 65,919,418.04
  5. Step 5: Solve for x
    x = 65,919,418.04/7,463.48
  6. Step 6: Final answer
    x = 8,832.26

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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.