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Finding the Fourth Proportional to 12,584.07, 17,365.65 and 6,918.83

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Solution

The fourth proportional to 12,584.07, 17,365.65 and 6,918.83 is: 9,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.07 : 17,365.65 = 6,918.83 : x
  2. Step 2: Convert to fraction form
    12,584.07/17,365.65 = 6,918.83/x
  3. Step 3: Cross multiply
    12,584.07x = 17,365.65 × 6,918.83
  4. Step 4: Simplify right side
    12,584.07x = 120,149,980.19
  5. Step 5: Solve for x
    x = 120,149,980.19/12,584.07
  6. Step 6: Final answer
    x = 9,547.78

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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.