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Finding the Fourth Proportional to 11,103.32, 15,322.74 and 6,322.70

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Solution

The fourth proportional to 11,103.32, 15,322.74 and 6,322.70 is: 8,725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.32 : 15,322.74 = 6,322.70 : x
  2. Step 2: Convert to fraction form
    11,103.32/15,322.74 = 6,322.70/x
  3. Step 3: Cross multiply
    11,103.32x = 15,322.74 × 6,322.70
  4. Step 4: Simplify right side
    11,103.32x = 96,881,088.20
  5. Step 5: Solve for x
    x = 96,881,088.20/11,103.32
  6. Step 6: Final answer
    x = 8,725.42

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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.