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Finding the Fourth Proportional to 12,578.05, 17,368.73 and 7,870.33

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Solution

The fourth proportional to 12,578.05, 17,368.73 and 7,870.33 is: 10,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.05 : 17,368.73 = 7,870.33 : x
  2. Step 2: Convert to fraction form
    12,578.05/17,368.73 = 7,870.33/x
  3. Step 3: Cross multiply
    12,578.05x = 17,368.73 × 7,870.33
  4. Step 4: Simplify right side
    12,578.05x = 136,697,636.78
  5. Step 5: Solve for x
    x = 136,697,636.78/12,578.05
  6. Step 6: Final answer
    x = 10,867.95

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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.