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Finding the Fourth Proportional to 11,322.38, 15,624.88 and 6,605.75

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Solution

The fourth proportional to 11,322.38, 15,624.88 and 6,605.75 is: 9,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.38 : 15,624.88 = 6,605.75 : x
  2. Step 2: Convert to fraction form
    11,322.38/15,624.88 = 6,605.75/x
  3. Step 3: Cross multiply
    11,322.38x = 15,624.88 × 6,605.75
  4. Step 4: Simplify right side
    11,322.38x = 103,214,051.06
  5. Step 5: Solve for x
    x = 103,214,051.06/11,322.38
  6. Step 6: Final answer
    x = 9,115.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.