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Finding the Fourth Proportional to 10,041.01, 13,856.19 and 5,564.95

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Solution

The fourth proportional to 10,041.01, 13,856.19 and 5,564.95 is: 7,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.01 : 13,856.19 = 5,564.95 : x
  2. Step 2: Convert to fraction form
    10,041.01/13,856.19 = 5,564.95/x
  3. Step 3: Cross multiply
    10,041.01x = 13,856.19 × 5,564.95
  4. Step 4: Simplify right side
    10,041.01x = 77,109,004.54
  5. Step 5: Solve for x
    x = 77,109,004.54/10,041.01
  6. Step 6: Final answer
    x = 7,679.41

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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.