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Finding the Fourth Proportional to 6,077.90, 8,384.55 and 5,237.14

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Solution

The fourth proportional to 6,077.90, 8,384.55 and 5,237.14 is: 7,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.90 : 8,384.55 = 5,237.14 : x
  2. Step 2: Convert to fraction form
    6,077.90/8,384.55 = 5,237.14/x
  3. Step 3: Cross multiply
    6,077.90x = 8,384.55 × 5,237.14
  4. Step 4: Simplify right side
    6,077.90x = 43,911,062.19
  5. Step 5: Solve for x
    x = 43,911,062.19/6,077.90
  6. Step 6: Final answer
    x = 7,224.71

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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.