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Finding the Fourth Proportional to 10,041.19, 13,856.24 and 5,564.68

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Solution

The fourth proportional to 10,041.19, 13,856.24 and 5,564.68 is: 7,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.19 : 13,856.24 = 5,564.68 : x
  2. Step 2: Convert to fraction form
    10,041.19/13,856.24 = 5,564.68/x
  3. Step 3: Cross multiply
    10,041.19x = 13,856.24 × 5,564.68
  4. Step 4: Simplify right side
    10,041.19x = 77,105,520.87
  5. Step 5: Solve for x
    x = 77,105,520.87/10,041.19
  6. Step 6: Final answer
    x = 7,678.92

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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.