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Finding the Fourth Proportional to 7,829.77, 10,805.08 and 4,292.91

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Solution

The fourth proportional to 7,829.77, 10,805.08 and 4,292.91 is: 5,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.77 : 10,805.08 = 4,292.91 : x
  2. Step 2: Convert to fraction form
    7,829.77/10,805.08 = 4,292.91/x
  3. Step 3: Cross multiply
    7,829.77x = 10,805.08 × 4,292.91
  4. Step 4: Simplify right side
    7,829.77x = 46,385,181.96
  5. Step 5: Solve for x
    x = 46,385,181.96/7,829.77
  6. Step 6: Final answer
    x = 5,924.21

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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.