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Finding the Fourth Proportional to 12,571.93, 17,349.27 and 7,856.17

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Solution

The fourth proportional to 12,571.93, 17,349.27 and 7,856.17 is: 10,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.93 : 17,349.27 = 7,856.17 : x
  2. Step 2: Convert to fraction form
    12,571.93/17,349.27 = 7,856.17/x
  3. Step 3: Cross multiply
    12,571.93x = 17,349.27 × 7,856.17
  4. Step 4: Simplify right side
    12,571.93x = 136,298,814.50
  5. Step 5: Solve for x
    x = 136,298,814.50/12,571.93
  6. Step 6: Final answer
    x = 10,841.52

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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.