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Finding the Fourth Proportional to 10,039.76, 13,854.53 and 5,563.58

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Solution

The fourth proportional to 10,039.76, 13,854.53 and 5,563.58 is: 7,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.76 : 13,854.53 = 5,563.58 : x
  2. Step 2: Convert to fraction form
    10,039.76/13,854.53 = 5,563.58/x
  3. Step 3: Cross multiply
    10,039.76x = 13,854.53 × 5,563.58
  4. Step 4: Simplify right side
    10,039.76x = 77,080,688.93
  5. Step 5: Solve for x
    x = 77,080,688.93/10,039.76
  6. Step 6: Final answer
    x = 7,677.55

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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.