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Finding the Fourth Proportional to 11,294.94, 15,586.83 and 6,259.14

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Solution

The fourth proportional to 11,294.94, 15,586.83 and 6,259.14 is: 8,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.94 : 15,586.83 = 6,259.14 : x
  2. Step 2: Convert to fraction form
    11,294.94/15,586.83 = 6,259.14/x
  3. Step 3: Cross multiply
    11,294.94x = 15,586.83 × 6,259.14
  4. Step 4: Simplify right side
    11,294.94x = 97,560,119.83
  5. Step 5: Solve for x
    x = 97,560,119.83/11,294.94
  6. Step 6: Final answer
    x = 8,637.51

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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.