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Finding the Fourth Proportional to 7,855.84, 10,830.27 and 5,727.16

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Solution

The fourth proportional to 7,855.84, 10,830.27 and 5,727.16 is: 7,895.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.84 : 10,830.27 = 5,727.16 : x
  2. Step 2: Convert to fraction form
    7,855.84/10,830.27 = 5,727.16/x
  3. Step 3: Cross multiply
    7,855.84x = 10,830.27 × 5,727.16
  4. Step 4: Simplify right side
    7,855.84x = 62,026,689.13
  5. Step 5: Solve for x
    x = 62,026,689.13/7,855.84
  6. Step 6: Final answer
    x = 7,895.62

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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.