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Finding the Fourth Proportional to 11,295.41, 15,586.86 and 6,259.14

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Solution

The fourth proportional to 11,295.41, 15,586.86 and 6,259.14 is: 8,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.41 : 15,586.86 = 6,259.14 : x
  2. Step 2: Convert to fraction form
    11,295.41/15,586.86 = 6,259.14/x
  3. Step 3: Cross multiply
    11,295.41x = 15,586.86 × 6,259.14
  4. Step 4: Simplify right side
    11,295.41x = 97,560,338.90
  5. Step 5: Solve for x
    x = 97,560,338.90/11,295.41
  6. Step 6: Final answer
    x = 8,637.17

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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.