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Finding the Fourth Proportional to 6,024.24, 8,315.75 and 5,393.65

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Solution

The fourth proportional to 6,024.24, 8,315.75 and 5,393.65 is: 7,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.24 : 8,315.75 = 5,393.65 : x
  2. Step 2: Convert to fraction form
    6,024.24/8,315.75 = 5,393.65/x
  3. Step 3: Cross multiply
    6,024.24x = 8,315.75 × 5,393.65
  4. Step 4: Simplify right side
    6,024.24x = 44,852,218.02
  5. Step 5: Solve for x
    x = 44,852,218.02/6,024.24
  6. Step 6: Final answer
    x = 7,445.30

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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.