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Finding the Fourth Proportional to 7,661.13, 11,480.56 and 4,148.16

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Solution

The fourth proportional to 7,661.13, 11,480.56 and 4,148.16 is: 6,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.13 : 11,480.56 = 4,148.16 : x
  2. Step 2: Convert to fraction form
    7,661.13/11,480.56 = 4,148.16/x
  3. Step 3: Cross multiply
    7,661.13x = 11,480.56 × 4,148.16
  4. Step 4: Simplify right side
    7,661.13x = 47,623,189.40
  5. Step 5: Solve for x
    x = 47,623,189.40/7,661.13
  6. Step 6: Final answer
    x = 6,216.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.