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Finding the Fourth Proportional to 10,363.40, 15,535.34 and 5,164.36

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Solution

The fourth proportional to 10,363.40, 15,535.34 and 5,164.36 is: 7,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.40 : 15,535.34 = 5,164.36 : x
  2. Step 2: Convert to fraction form
    10,363.40/15,535.34 = 5,164.36/x
  3. Step 3: Cross multiply
    10,363.40x = 15,535.34 × 5,164.36
  4. Step 4: Simplify right side
    10,363.40x = 80,230,088.48
  5. Step 5: Solve for x
    x = 80,230,088.48/10,363.40
  6. Step 6: Final answer
    x = 7,741.68

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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.