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Finding the Fourth Proportional to 8,534.52, 11,778.50 and 4,758.30

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Solution

The fourth proportional to 8,534.52, 11,778.50 and 4,758.30 is: 6,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.52 : 11,778.50 = 4,758.30 : x
  2. Step 2: Convert to fraction form
    8,534.52/11,778.50 = 4,758.30/x
  3. Step 3: Cross multiply
    8,534.52x = 11,778.50 × 4,758.30
  4. Step 4: Simplify right side
    8,534.52x = 56,045,636.55
  5. Step 5: Solve for x
    x = 56,045,636.55/8,534.52
  6. Step 6: Final answer
    x = 6,566.93

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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.