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Finding the Fourth Proportional to 7,931.91, 10,965.54 and 7,857.19

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Solution

The fourth proportional to 7,931.91, 10,965.54 and 7,857.19 is: 10,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.91 : 10,965.54 = 7,857.19 : x
  2. Step 2: Convert to fraction form
    7,931.91/10,965.54 = 7,857.19/x
  3. Step 3: Cross multiply
    7,931.91x = 10,965.54 × 7,857.19
  4. Step 4: Simplify right side
    7,931.91x = 86,158,331.23
  5. Step 5: Solve for x
    x = 86,158,331.23/7,931.91
  6. Step 6: Final answer
    x = 10,862.24

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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.