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Finding the Fourth Proportional to 7,829.58, 10,805.07 and 4,292.76

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Solution

The fourth proportional to 7,829.58, 10,805.07 and 4,292.76 is: 5,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.58 : 10,805.07 = 4,292.76 : x
  2. Step 2: Convert to fraction form
    7,829.58/10,805.07 = 4,292.76/x
  3. Step 3: Cross multiply
    7,829.58x = 10,805.07 × 4,292.76
  4. Step 4: Simplify right side
    7,829.58x = 46,383,572.29
  5. Step 5: Solve for x
    x = 46,383,572.29/7,829.58
  6. Step 6: Final answer
    x = 5,924.15

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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.