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Finding the Fourth Proportional to 6,265.76, 8,653.23 and 4,382.51

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Solution

The fourth proportional to 6,265.76, 8,653.23 and 4,382.51 is: 6,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.76 : 8,653.23 = 4,382.51 : x
  2. Step 2: Convert to fraction form
    6,265.76/8,653.23 = 4,382.51/x
  3. Step 3: Cross multiply
    6,265.76x = 8,653.23 × 4,382.51
  4. Step 4: Simplify right side
    6,265.76x = 37,922,823.74
  5. Step 5: Solve for x
    x = 37,922,823.74/6,265.76
  6. Step 6: Final answer
    x = 6,052.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.