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Finding the Fourth Proportional to 7,832.88, 10,810.04 and 4,296.78

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Solution

The fourth proportional to 7,832.88, 10,810.04 and 4,296.78 is: 5,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.88 : 10,810.04 = 4,296.78 : x
  2. Step 2: Convert to fraction form
    7,832.88/10,810.04 = 4,296.78/x
  3. Step 3: Cross multiply
    7,832.88x = 10,810.04 × 4,296.78
  4. Step 4: Simplify right side
    7,832.88x = 46,448,363.67
  5. Step 5: Solve for x
    x = 46,448,363.67/7,832.88
  6. Step 6: Final answer
    x = 5,929.92

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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.