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Finding the Fourth Proportional to 7,859.82, 10,846.90 and 4,323.16

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Solution

The fourth proportional to 7,859.82, 10,846.90 and 4,323.16 is: 5,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.82 : 10,846.90 = 4,323.16 : x
  2. Step 2: Convert to fraction form
    7,859.82/10,846.90 = 4,323.16/x
  3. Step 3: Cross multiply
    7,859.82x = 10,846.90 × 4,323.16
  4. Step 4: Simplify right side
    7,859.82x = 46,892,862.59
  5. Step 5: Solve for x
    x = 46,892,862.59/7,859.82
  6. Step 6: Final answer
    x = 5,966.15

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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.