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Finding the Fourth Proportional to 8,534.87, 11,777.70 and 4,758.45

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Solution

The fourth proportional to 8,534.87, 11,777.70 and 4,758.45 is: 6,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.87 : 11,777.70 = 4,758.45 : x
  2. Step 2: Convert to fraction form
    8,534.87/11,777.70 = 4,758.45/x
  3. Step 3: Cross multiply
    8,534.87x = 11,777.70 × 4,758.45
  4. Step 4: Simplify right side
    8,534.87x = 56,043,570.24
  5. Step 5: Solve for x
    x = 56,043,570.24/8,534.87
  6. Step 6: Final answer
    x = 6,566.42

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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.