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Finding the Fourth Proportional to 8,356.41, 12,534.98 and 4,682.07

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Solution

The fourth proportional to 8,356.41, 12,534.98 and 4,682.07 is: 7,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.41 : 12,534.98 = 4,682.07 : x
  2. Step 2: Convert to fraction form
    8,356.41/12,534.98 = 4,682.07/x
  3. Step 3: Cross multiply
    8,356.41x = 12,534.98 × 4,682.07
  4. Step 4: Simplify right side
    8,356.41x = 58,689,630.40
  5. Step 5: Solve for x
    x = 58,689,630.40/8,356.41
  6. Step 6: Final answer
    x = 7,023.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.