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Finding the Fourth Proportional to 12,897.87, 17,802.23 and 7,864.86

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Solution

The fourth proportional to 12,897.87, 17,802.23 and 7,864.86 is: 10,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.87 : 17,802.23 = 7,864.86 : x
  2. Step 2: Convert to fraction form
    12,897.87/17,802.23 = 7,864.86/x
  3. Step 3: Cross multiply
    12,897.87x = 17,802.23 × 7,864.86
  4. Step 4: Simplify right side
    12,897.87x = 140,012,074.07
  5. Step 5: Solve for x
    x = 140,012,074.07/12,897.87
  6. Step 6: Final answer
    x = 10,855.44

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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.