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Finding the Fourth Proportional to 11,322.84, 15,624.66 and 6,287.22

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Solution

The fourth proportional to 11,322.84, 15,624.66 and 6,287.22 is: 8,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.84 : 15,624.66 = 6,287.22 : x
  2. Step 2: Convert to fraction form
    11,322.84/15,624.66 = 6,287.22/x
  3. Step 3: Cross multiply
    11,322.84x = 15,624.66 × 6,287.22
  4. Step 4: Simplify right side
    11,322.84x = 98,235,674.85
  5. Step 5: Solve for x
    x = 98,235,674.85/11,322.84
  6. Step 6: Final answer
    x = 8,675.89

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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.