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Finding the Fourth Proportional to 7,446.78, 10,261.74 and 5,316.30

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Solution

The fourth proportional to 7,446.78, 10,261.74 and 5,316.30 is: 7,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.78 : 10,261.74 = 5,316.30 : x
  2. Step 2: Convert to fraction form
    7,446.78/10,261.74 = 5,316.30/x
  3. Step 3: Cross multiply
    7,446.78x = 10,261.74 × 5,316.30
  4. Step 4: Simplify right side
    7,446.78x = 54,554,488.36
  5. Step 5: Solve for x
    x = 54,554,488.36/7,446.78
  6. Step 6: Final answer
    x = 7,325.92

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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.