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Finding the Fourth Proportional to 10,847.61, 16,268.13 and 4,607.57

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Solution

The fourth proportional to 10,847.61, 16,268.13 and 4,607.57 is: 6,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.61 : 16,268.13 = 4,607.57 : x
  2. Step 2: Convert to fraction form
    10,847.61/16,268.13 = 4,607.57/x
  3. Step 3: Cross multiply
    10,847.61x = 16,268.13 × 4,607.57
  4. Step 4: Simplify right side
    10,847.61x = 74,956,466.40
  5. Step 5: Solve for x
    x = 74,956,466.40/10,847.61
  6. Step 6: Final answer
    x = 6,909.95

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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.