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Finding the Fourth Proportional to 12,848, 17,730.78 and 7,259

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Solution

The fourth proportional to 12,848, 17,730.78 and 7,259 is: 10,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848 : 17,730.78 = 7,259 : x
  2. Step 2: Convert to fraction form
    12,848/17,730.78 = 7,259/x
  3. Step 3: Cross multiply
    12,848x = 17,730.78 × 7,259
  4. Step 4: Simplify right side
    12,848x = 128,707,732.02
  5. Step 5: Solve for x
    x = 128,707,732.02/12,848
  6. Step 6: Final answer
    x = 10,017.73

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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.