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Finding the Fourth Proportional to 10,149.45, 14,005.08 and 6,318.60

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Solution

The fourth proportional to 10,149.45, 14,005.08 and 6,318.60 is: 8,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.45 : 14,005.08 = 6,318.60 : x
  2. Step 2: Convert to fraction form
    10,149.45/14,005.08 = 6,318.60/x
  3. Step 3: Cross multiply
    10,149.45x = 14,005.08 × 6,318.60
  4. Step 4: Simplify right side
    10,149.45x = 88,492,498.49
  5. Step 5: Solve for x
    x = 88,492,498.49/10,149.45
  6. Step 6: Final answer
    x = 8,718.95

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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.