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Finding the Fourth Proportional to 12,782.14, 17,637.78 and 7,115.47

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Solution

The fourth proportional to 12,782.14, 17,637.78 and 7,115.47 is: 9,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.14 : 17,637.78 = 7,115.47 : x
  2. Step 2: Convert to fraction form
    12,782.14/17,637.78 = 7,115.47/x
  3. Step 3: Cross multiply
    12,782.14x = 17,637.78 × 7,115.47
  4. Step 4: Simplify right side
    12,782.14x = 125,501,094.46
  5. Step 5: Solve for x
    x = 125,501,094.46/12,782.14
  6. Step 6: Final answer
    x = 9,818.47

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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.