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Finding the Fourth Proportional to 10,041.05, 13,856.49 and 5,564.79

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Solution

The fourth proportional to 10,041.05, 13,856.49 and 5,564.79 is: 7,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.05 : 13,856.49 = 5,564.79 : x
  2. Step 2: Convert to fraction form
    10,041.05/13,856.49 = 5,564.79/x
  3. Step 3: Cross multiply
    10,041.05x = 13,856.49 × 5,564.79
  4. Step 4: Simplify right side
    10,041.05x = 77,108,456.99
  5. Step 5: Solve for x
    x = 77,108,456.99/10,041.05
  6. Step 6: Final answer
    x = 7,679.32

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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.