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Finding the Fourth Proportional to 10,029.36, 13,836.68 and 7,730.42

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Solution

The fourth proportional to 10,029.36, 13,836.68 and 7,730.42 is: 10,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.36 : 13,836.68 = 7,730.42 : x
  2. Step 2: Convert to fraction form
    10,029.36/13,836.68 = 7,730.42/x
  3. Step 3: Cross multiply
    10,029.36x = 13,836.68 × 7,730.42
  4. Step 4: Simplify right side
    10,029.36x = 106,963,347.81
  5. Step 5: Solve for x
    x = 106,963,347.81/10,029.36
  6. Step 6: Final answer
    x = 10,665.02

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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.