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Finding the Fourth Proportional to 10,041.00, 13,856.20 and 5,564.82

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Solution

The fourth proportional to 10,041.00, 13,856.20 and 5,564.82 is: 7,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.00 : 13,856.20 = 5,564.82 : x
  2. Step 2: Convert to fraction form
    10,041.00/13,856.20 = 5,564.82/x
  3. Step 3: Cross multiply
    10,041.00x = 13,856.20 × 5,564.82
  4. Step 4: Simplify right side
    10,041.00x = 77,107,296.93
  5. Step 5: Solve for x
    x = 77,107,296.93/10,041.00
  6. Step 6: Final answer
    x = 7,679.25

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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.