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Finding the Fourth Proportional to 11,561.78, 15,956.09 and 6,526.43

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Solution

The fourth proportional to 11,561.78, 15,956.09 and 6,526.43 is: 9,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.78 : 15,956.09 = 6,526.43 : x
  2. Step 2: Convert to fraction form
    11,561.78/15,956.09 = 6,526.43/x
  3. Step 3: Cross multiply
    11,561.78x = 15,956.09 × 6,526.43
  4. Step 4: Simplify right side
    11,561.78x = 104,136,360.67
  5. Step 5: Solve for x
    x = 104,136,360.67/11,561.78
  6. Step 6: Final answer
    x = 9,006.95

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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.