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Finding the Fourth Proportional to 12,590.89, 17,374.06 and 7,284.71

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Solution

The fourth proportional to 12,590.89, 17,374.06 and 7,284.71 is: 10,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,590.89 : 17,374.06 = 7,284.71 : x
  2. Step 2: Convert to fraction form
    12,590.89/17,374.06 = 7,284.71/x
  3. Step 3: Cross multiply
    12,590.89x = 17,374.06 × 7,284.71
  4. Step 4: Simplify right side
    12,590.89x = 126,564,988.62
  5. Step 5: Solve for x
    x = 126,564,988.62/12,590.89
  6. Step 6: Final answer
    x = 10,052.11

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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.