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Finding the Fourth Proportional to 10,210.43, 14,091.70 and 6,230.70

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Solution

The fourth proportional to 10,210.43, 14,091.70 and 6,230.70 is: 8,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.43 : 14,091.70 = 6,230.70 : x
  2. Step 2: Convert to fraction form
    10,210.43/14,091.70 = 6,230.70/x
  3. Step 3: Cross multiply
    10,210.43x = 14,091.70 × 6,230.70
  4. Step 4: Simplify right side
    10,210.43x = 87,801,155.19
  5. Step 5: Solve for x
    x = 87,801,155.19/10,210.43
  6. Step 6: Final answer
    x = 8,599.16

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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.