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Finding the Fourth Proportional to 11,227.32, 15,495.04 and 6,511.76

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Solution

The fourth proportional to 11,227.32, 15,495.04 and 6,511.76 is: 8,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.32 : 15,495.04 = 6,511.76 : x
  2. Step 2: Convert to fraction form
    11,227.32/15,495.04 = 6,511.76/x
  3. Step 3: Cross multiply
    11,227.32x = 15,495.04 × 6,511.76
  4. Step 4: Simplify right side
    11,227.32x = 100,899,981.67
  5. Step 5: Solve for x
    x = 100,899,981.67/11,227.32
  6. Step 6: Final answer
    x = 8,987.01

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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.