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Finding the Fourth Proportional to 10,041.87, 13,858.44 and 5,565.81

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Solution

The fourth proportional to 10,041.87, 13,858.44 and 5,565.81 is: 7,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.87 : 13,858.44 = 5,565.81 : x
  2. Step 2: Convert to fraction form
    10,041.87/13,858.44 = 5,565.81/x
  3. Step 3: Cross multiply
    10,041.87x = 13,858.44 × 5,565.81
  4. Step 4: Simplify right side
    10,041.87x = 77,133,443.94
  5. Step 5: Solve for x
    x = 77,133,443.94/10,041.87
  6. Step 6: Final answer
    x = 7,681.18

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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.