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Finding the Fourth Proportional to 7,828.90, 10,803.21 and 4,471.04

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Solution

The fourth proportional to 7,828.90, 10,803.21 and 4,471.04 is: 6,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.90 : 10,803.21 = 4,471.04 : x
  2. Step 2: Convert to fraction form
    7,828.90/10,803.21 = 4,471.04/x
  3. Step 3: Cross multiply
    7,828.90x = 10,803.21 × 4,471.04
  4. Step 4: Simplify right side
    7,828.90x = 48,301,594.28
  5. Step 5: Solve for x
    x = 48,301,594.28/7,828.90
  6. Step 6: Final answer
    x = 6,169.65

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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.