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Finding the Fourth Proportional to 7,591.77, 10,477.98 and 5,712.75

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Solution

The fourth proportional to 7,591.77, 10,477.98 and 5,712.75 is: 7,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.77 : 10,477.98 = 5,712.75 : x
  2. Step 2: Convert to fraction form
    7,591.77/10,477.98 = 5,712.75/x
  3. Step 3: Cross multiply
    7,591.77x = 10,477.98 × 5,712.75
  4. Step 4: Simplify right side
    7,591.77x = 59,858,080.25
  5. Step 5: Solve for x
    x = 59,858,080.25/7,591.77
  6. Step 6: Final answer
    x = 7,884.60

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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.