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Finding the Fourth Proportional to 7,260.12, 10,019.16 and 4,116.78

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Solution

The fourth proportional to 7,260.12, 10,019.16 and 4,116.78 is: 5,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.12 : 10,019.16 = 4,116.78 : x
  2. Step 2: Convert to fraction form
    7,260.12/10,019.16 = 4,116.78/x
  3. Step 3: Cross multiply
    7,260.12x = 10,019.16 × 4,116.78
  4. Step 4: Simplify right side
    7,260.12x = 41,246,677.50
  5. Step 5: Solve for x
    x = 41,246,677.50/7,260.12
  6. Step 6: Final answer
    x = 5,681.27

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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.