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Finding the Fourth Proportional to 11,488.84, 15,855.36 and 7,718.32

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Solution

The fourth proportional to 11,488.84, 15,855.36 and 7,718.32 is: 10,651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.84 : 15,855.36 = 7,718.32 : x
  2. Step 2: Convert to fraction form
    11,488.84/15,855.36 = 7,718.32/x
  3. Step 3: Cross multiply
    11,488.84x = 15,855.36 × 7,718.32
  4. Step 4: Simplify right side
    11,488.84x = 122,376,742.20
  5. Step 5: Solve for x
    x = 122,376,742.20/11,488.84
  6. Step 6: Final answer
    x = 10,651.79

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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.