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Finding the Fourth Proportional to 7,661.85, 11,483.49 and 5,437.18

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Solution

The fourth proportional to 7,661.85, 11,483.49 and 5,437.18 is: 8,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.85 : 11,483.49 = 5,437.18 : x
  2. Step 2: Convert to fraction form
    7,661.85/11,483.49 = 5,437.18/x
  3. Step 3: Cross multiply
    7,661.85x = 11,483.49 × 5,437.18
  4. Step 4: Simplify right side
    7,661.85x = 62,437,802.16
  5. Step 5: Solve for x
    x = 62,437,802.16/7,661.85
  6. Step 6: Final answer
    x = 8,149.18

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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.