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Finding the Fourth Proportional to 10,039.51, 13,854.39 and 5,563.51

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Solution

The fourth proportional to 10,039.51, 13,854.39 and 5,563.51 is: 7,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.51 : 13,854.39 = 5,563.51 : x
  2. Step 2: Convert to fraction form
    10,039.51/13,854.39 = 5,563.51/x
  3. Step 3: Cross multiply
    10,039.51x = 13,854.39 × 5,563.51
  4. Step 4: Simplify right side
    10,039.51x = 77,079,037.31
  5. Step 5: Solve for x
    x = 77,079,037.31/10,039.51
  6. Step 6: Final answer
    x = 7,677.57

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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.