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Finding the Fourth Proportional to 7,832.95, 10,810.04 and 4,475.69

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Solution

The fourth proportional to 7,832.95, 10,810.04 and 4,475.69 is: 6,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.95 : 10,810.04 = 4,475.69 : x
  2. Step 2: Convert to fraction form
    7,832.95/10,810.04 = 4,475.69/x
  3. Step 3: Cross multiply
    7,832.95x = 10,810.04 × 4,475.69
  4. Step 4: Simplify right side
    7,832.95x = 48,382,407.50
  5. Step 5: Solve for x
    x = 48,382,407.50/7,832.95
  6. Step 6: Final answer
    x = 6,176.78

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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.