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Finding the Fourth Proportional to 11,295.45, 15,586.25 and 6,259.43

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Solution

The fourth proportional to 11,295.45, 15,586.25 and 6,259.43 is: 8,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295.45 : 15,586.25 = 6,259.43 : x
  2. Step 2: Convert to fraction form
    11,295.45/15,586.25 = 6,259.43/x
  3. Step 3: Cross multiply
    11,295.45x = 15,586.25 × 6,259.43
  4. Step 4: Simplify right side
    11,295.45x = 97,561,040.84
  5. Step 5: Solve for x
    x = 97,561,040.84/11,295.45
  6. Step 6: Final answer
    x = 8,637.20

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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.