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Finding the Fourth Proportional to 11,301.93, 15,596.35 and 6,824.05

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Solution

The fourth proportional to 11,301.93, 15,596.35 and 6,824.05 is: 9,416.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.93 : 15,596.35 = 6,824.05 : x
  2. Step 2: Convert to fraction form
    11,301.93/15,596.35 = 6,824.05/x
  3. Step 3: Cross multiply
    11,301.93x = 15,596.35 × 6,824.05
  4. Step 4: Simplify right side
    11,301.93x = 106,430,216.17
  5. Step 5: Solve for x
    x = 106,430,216.17/11,301.93
  6. Step 6: Final answer
    x = 9,416.99

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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.