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Finding the Fourth Proportional to 10,430.36, 15,645.68 and 3,856.48

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Solution

The fourth proportional to 10,430.36, 15,645.68 and 3,856.48 is: 5,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.36 : 15,645.68 = 3,856.48 : x
  2. Step 2: Convert to fraction form
    10,430.36/15,645.68 = 3,856.48/x
  3. Step 3: Cross multiply
    10,430.36x = 15,645.68 × 3,856.48
  4. Step 4: Simplify right side
    10,430.36x = 60,337,252.01
  5. Step 5: Solve for x
    x = 60,337,252.01/10,430.36
  6. Step 6: Final answer
    x = 5,784.77

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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.