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Finding the Fourth Proportional to 10,035.09, 13,844.06 and 7,052.87

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Solution

The fourth proportional to 10,035.09, 13,844.06 and 7,052.87 is: 9,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.09 : 13,844.06 = 7,052.87 : x
  2. Step 2: Convert to fraction form
    10,035.09/13,844.06 = 7,052.87/x
  3. Step 3: Cross multiply
    10,035.09x = 13,844.06 × 7,052.87
  4. Step 4: Simplify right side
    10,035.09x = 97,640,320.19
  5. Step 5: Solve for x
    x = 97,640,320.19/10,035.09
  6. Step 6: Final answer
    x = 9,729.89

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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.