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Finding the Fourth Proportional to 8,559.77, 11,811.31 and 4,782.47

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Solution

The fourth proportional to 8,559.77, 11,811.31 and 4,782.47 is: 6,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.77 : 11,811.31 = 4,782.47 : x
  2. Step 2: Convert to fraction form
    8,559.77/11,811.31 = 4,782.47/x
  3. Step 3: Cross multiply
    8,559.77x = 11,811.31 × 4,782.47
  4. Step 4: Simplify right side
    8,559.77x = 56,487,235.74
  5. Step 5: Solve for x
    x = 56,487,235.74/8,559.77
  6. Step 6: Final answer
    x = 6,599.15

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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.