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Finding the Fourth Proportional to 12,888.84, 17,786.57 and 7,853.06

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Solution

The fourth proportional to 12,888.84, 17,786.57 and 7,853.06 is: 10,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.84 : 17,786.57 = 7,853.06 : x
  2. Step 2: Convert to fraction form
    12,888.84/17,786.57 = 7,853.06/x
  3. Step 3: Cross multiply
    12,888.84x = 17,786.57 × 7,853.06
  4. Step 4: Simplify right side
    12,888.84x = 139,679,006.61
  5. Step 5: Solve for x
    x = 139,679,006.61/12,888.84
  6. Step 6: Final answer
    x = 10,837.20

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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.