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Finding the Fourth Proportional to 10,014.57, 13,807.55 and 6,423.19

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Solution

The fourth proportional to 10,014.57, 13,807.55 and 6,423.19 is: 8,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.57 : 13,807.55 = 6,423.19 : x
  2. Step 2: Convert to fraction form
    10,014.57/13,807.55 = 6,423.19/x
  3. Step 3: Cross multiply
    10,014.57x = 13,807.55 × 6,423.19
  4. Step 4: Simplify right side
    10,014.57x = 88,688,517.08
  5. Step 5: Solve for x
    x = 88,688,517.08/10,014.57
  6. Step 6: Final answer
    x = 8,855.95

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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.