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Finding the Fourth Proportional to 11,278.84, 15,564.74 and 6,497.06

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Solution

The fourth proportional to 11,278.84, 15,564.74 and 6,497.06 is: 8,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.84 : 15,564.74 = 6,497.06 : x
  2. Step 2: Convert to fraction form
    11,278.84/15,564.74 = 6,497.06/x
  3. Step 3: Cross multiply
    11,278.84x = 15,564.74 × 6,497.06
  4. Step 4: Simplify right side
    11,278.84x = 101,125,049.66
  5. Step 5: Solve for x
    x = 101,125,049.66/11,278.84
  6. Step 6: Final answer
    x = 8,965.91

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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.