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Finding the Fourth Proportional to 11,215.84, 15,476.80 and 6,500.40

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Solution

The fourth proportional to 11,215.84, 15,476.80 and 6,500.40 is: 8,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.84 : 15,476.80 = 6,500.40 : x
  2. Step 2: Convert to fraction form
    11,215.84/15,476.80 = 6,500.40/x
  3. Step 3: Cross multiply
    11,215.84x = 15,476.80 × 6,500.40
  4. Step 4: Simplify right side
    11,215.84x = 100,605,390.72
  5. Step 5: Solve for x
    x = 100,605,390.72/11,215.84
  6. Step 6: Final answer
    x = 8,969.94

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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.