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Finding the Fourth Proportional to 7,841.84, 10,821.92 and 4,305.04

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Solution

The fourth proportional to 7,841.84, 10,821.92 and 4,305.04 is: 5,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.84 : 10,821.92 = 4,305.04 : x
  2. Step 2: Convert to fraction form
    7,841.84/10,821.92 = 4,305.04/x
  3. Step 3: Cross multiply
    7,841.84x = 10,821.92 × 4,305.04
  4. Step 4: Simplify right side
    7,841.84x = 46,588,798.48
  5. Step 5: Solve for x
    x = 46,588,798.48/7,841.84
  6. Step 6: Final answer
    x = 5,941.05

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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.