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Finding the Fourth Proportional to 10,007.57, 13,809.48 and 5,530.59

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Solution

The fourth proportional to 10,007.57, 13,809.48 and 5,530.59 is: 7,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.57 : 13,809.48 = 5,530.59 : x
  2. Step 2: Convert to fraction form
    10,007.57/13,809.48 = 5,530.59/x
  3. Step 3: Cross multiply
    10,007.57x = 13,809.48 × 5,530.59
  4. Step 4: Simplify right side
    10,007.57x = 76,374,571.99
  5. Step 5: Solve for x
    x = 76,374,571.99/10,007.57
  6. Step 6: Final answer
    x = 7,631.68

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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.