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Finding the Fourth Proportional to 8,287.77, 11,437.14 and 4,561.77

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Solution

The fourth proportional to 8,287.77, 11,437.14 and 4,561.77 is: 6,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.77 : 11,437.14 = 4,561.77 : x
  2. Step 2: Convert to fraction form
    8,287.77/11,437.14 = 4,561.77/x
  3. Step 3: Cross multiply
    8,287.77x = 11,437.14 × 4,561.77
  4. Step 4: Simplify right side
    8,287.77x = 52,173,602.14
  5. Step 5: Solve for x
    x = 52,173,602.14/8,287.77
  6. Step 6: Final answer
    x = 6,295.25

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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.