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Finding the Fourth Proportional to 7,725.26, 10,661.47 and 4,368.78

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Solution

The fourth proportional to 7,725.26, 10,661.47 and 4,368.78 is: 6,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.26 : 10,661.47 = 4,368.78 : x
  2. Step 2: Convert to fraction form
    7,725.26/10,661.47 = 4,368.78/x
  3. Step 3: Cross multiply
    7,725.26x = 10,661.47 × 4,368.78
  4. Step 4: Simplify right side
    7,725.26x = 46,577,616.91
  5. Step 5: Solve for x
    x = 46,577,616.91/7,725.26
  6. Step 6: Final answer
    x = 6,029.26

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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.