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Finding the Fourth Proportional to 6,382.16, 8,811.72 and 4,703.76

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Solution

The fourth proportional to 6,382.16, 8,811.72 and 4,703.76 is: 6,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.16 : 8,811.72 = 4,703.76 : x
  2. Step 2: Convert to fraction form
    6,382.16/8,811.72 = 4,703.76/x
  3. Step 3: Cross multiply
    6,382.16x = 8,811.72 × 4,703.76
  4. Step 4: Simplify right side
    6,382.16x = 41,448,216.07
  5. Step 5: Solve for x
    x = 41,448,216.07/6,382.16
  6. Step 6: Final answer
    x = 6,494.39

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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.