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Finding the Fourth Proportional to 12,590.32, 17,372.71 and 7,284.12

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Solution

The fourth proportional to 12,590.32, 17,372.71 and 7,284.12 is: 10,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.32 : 17,372.71 = 7,284.12 : x
  2. Step 2: Convert to fraction form
    12,590.32/17,372.71 = 7,284.12/x
  3. Step 3: Cross multiply
    12,590.32x = 17,372.71 × 7,284.12
  4. Step 4: Simplify right side
    12,590.32x = 126,544,904.37
  5. Step 5: Solve for x
    x = 126,544,904.37/12,590.32
  6. Step 6: Final answer
    x = 10,050.97

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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.