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Finding the Fourth Proportional to 11,305.35, 15,599.48 and 7,534.14

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Solution

The fourth proportional to 11,305.35, 15,599.48 and 7,534.14 is: 10,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.35 : 15,599.48 = 7,534.14 : x
  2. Step 2: Convert to fraction form
    11,305.35/15,599.48 = 7,534.14/x
  3. Step 3: Cross multiply
    11,305.35x = 15,599.48 × 7,534.14
  4. Step 4: Simplify right side
    11,305.35x = 117,528,628.58
  5. Step 5: Solve for x
    x = 117,528,628.58/11,305.35
  6. Step 6: Final answer
    x = 10,395.85

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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.