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Finding the Fourth Proportional to 10,346.36, 15,508.20 and 4,496

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Solution

The fourth proportional to 10,346.36, 15,508.20 and 4,496 is: 6,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.36 : 15,508.20 = 4,496 : x
  2. Step 2: Convert to fraction form
    10,346.36/15,508.20 = 4,496/x
  3. Step 3: Cross multiply
    10,346.36x = 15,508.20 × 4,496
  4. Step 4: Simplify right side
    10,346.36x = 69,724,867.20
  5. Step 5: Solve for x
    x = 69,724,867.20/10,346.36
  6. Step 6: Final answer
    x = 6,739.07

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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.