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Finding the Fourth Proportional to 11,495.13, 15,869.34 and 7,738.05

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Solution

The fourth proportional to 11,495.13, 15,869.34 and 7,738.05 is: 10,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.13 : 15,869.34 = 7,738.05 : x
  2. Step 2: Convert to fraction form
    11,495.13/15,869.34 = 7,738.05/x
  3. Step 3: Cross multiply
    11,495.13x = 15,869.34 × 7,738.05
  4. Step 4: Simplify right side
    11,495.13x = 122,797,746.39
  5. Step 5: Solve for x
    x = 122,797,746.39/11,495.13
  6. Step 6: Final answer
    x = 10,682.59

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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.