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Finding the Fourth Proportional to 11,301.22, 15,596.09 and 6,824.10

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Solution

The fourth proportional to 11,301.22, 15,596.09 and 6,824.10 is: 9,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.22 : 15,596.09 = 6,824.10 : x
  2. Step 2: Convert to fraction form
    11,301.22/15,596.09 = 6,824.10/x
  3. Step 3: Cross multiply
    11,301.22x = 15,596.09 × 6,824.10
  4. Step 4: Simplify right side
    11,301.22x = 106,429,277.77
  5. Step 5: Solve for x
    x = 106,429,277.77/11,301.22
  6. Step 6: Final answer
    x = 9,417.50

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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.