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Finding the Fourth Proportional to 10,026.81, 15,035.82 and 4,763.32

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Solution

The fourth proportional to 10,026.81, 15,035.82 and 4,763.32 is: 7,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.81 : 15,035.82 = 4,763.32 : x
  2. Step 2: Convert to fraction form
    10,026.81/15,035.82 = 4,763.32/x
  3. Step 3: Cross multiply
    10,026.81x = 15,035.82 × 4,763.32
  4. Step 4: Simplify right side
    10,026.81x = 71,620,422.12
  5. Step 5: Solve for x
    x = 71,620,422.12/10,026.81
  6. Step 6: Final answer
    x = 7,142.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.