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Finding the Fourth Proportional to 11,284.68, 15,569.10 and 7,310.88

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Solution

The fourth proportional to 11,284.68, 15,569.10 and 7,310.88 is: 10,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.68 : 15,569.10 = 7,310.88 : x
  2. Step 2: Convert to fraction form
    11,284.68/15,569.10 = 7,310.88/x
  3. Step 3: Cross multiply
    11,284.68x = 15,569.10 × 7,310.88
  4. Step 4: Simplify right side
    11,284.68x = 113,823,821.81
  5. Step 5: Solve for x
    x = 113,823,821.81/11,284.68
  6. Step 6: Final answer
    x = 10,086.58

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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.