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Finding the Fourth Proportional to 6,689.48, 10,045.15 and 5,224.19

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Solution

The fourth proportional to 6,689.48, 10,045.15 and 5,224.19 is: 7,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.48 : 10,045.15 = 5,224.19 : x
  2. Step 2: Convert to fraction form
    6,689.48/10,045.15 = 5,224.19/x
  3. Step 3: Cross multiply
    6,689.48x = 10,045.15 × 5,224.19
  4. Step 4: Simplify right side
    6,689.48x = 52,477,708.89
  5. Step 5: Solve for x
    x = 52,477,708.89/6,689.48
  6. Step 6: Final answer
    x = 7,844.82

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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.