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Finding the Fourth Proportional to 10,280.18, 14,186.93 and 6,245.64

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Solution

The fourth proportional to 10,280.18, 14,186.93 and 6,245.64 is: 8,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.18 : 14,186.93 = 6,245.64 : x
  2. Step 2: Convert to fraction form
    10,280.18/14,186.93 = 6,245.64/x
  3. Step 3: Cross multiply
    10,280.18x = 14,186.93 × 6,245.64
  4. Step 4: Simplify right side
    10,280.18x = 88,606,426.26
  5. Step 5: Solve for x
    x = 88,606,426.26/10,280.18
  6. Step 6: Final answer
    x = 8,619.15

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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.