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Finding the Fourth Proportional to 7,474.02, 10,314 and 4,116.80

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Solution

The fourth proportional to 7,474.02, 10,314 and 4,116.80 is: 5,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.02 : 10,314 = 4,116.80 : x
  2. Step 2: Convert to fraction form
    7,474.02/10,314 = 4,116.80/x
  3. Step 3: Cross multiply
    7,474.02x = 10,314 × 4,116.80
  4. Step 4: Simplify right side
    7,474.02x = 42,460,675.20
  5. Step 5: Solve for x
    x = 42,460,675.20/7,474.02
  6. Step 6: Final answer
    x = 5,681.10

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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.