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Finding the Fourth Proportional to 7,841.96, 10,821.93 and 4,305.40

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Solution

The fourth proportional to 7,841.96, 10,821.93 and 4,305.40 is: 5,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.96 : 10,821.93 = 4,305.40 : x
  2. Step 2: Convert to fraction form
    7,841.96/10,821.93 = 4,305.40/x
  3. Step 3: Cross multiply
    7,841.96x = 10,821.93 × 4,305.40
  4. Step 4: Simplify right side
    7,841.96x = 46,592,767.20
  5. Step 5: Solve for x
    x = 46,592,767.20/7,841.96
  6. Step 6: Final answer
    x = 5,941.47

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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.