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Finding the Fourth Proportional to 11,570.80, 15,968.19 and 6,854.17

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Solution

The fourth proportional to 11,570.80, 15,968.19 and 6,854.17 is: 9,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.80 : 15,968.19 = 6,854.17 : x
  2. Step 2: Convert to fraction form
    11,570.80/15,968.19 = 6,854.17/x
  3. Step 3: Cross multiply
    11,570.80x = 15,968.19 × 6,854.17
  4. Step 4: Simplify right side
    11,570.80x = 109,448,688.85
  5. Step 5: Solve for x
    x = 109,448,688.85/11,570.80
  6. Step 6: Final answer
    x = 9,459.04

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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.