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Finding the Fourth Proportional to 10,686.69, 14,747.99 and 6,210.45

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Solution

The fourth proportional to 10,686.69, 14,747.99 and 6,210.45 is: 8,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.69 : 14,747.99 = 6,210.45 : x
  2. Step 2: Convert to fraction form
    10,686.69/14,747.99 = 6,210.45/x
  3. Step 3: Cross multiply
    10,686.69x = 14,747.99 × 6,210.45
  4. Step 4: Simplify right side
    10,686.69x = 91,591,623.44
  5. Step 5: Solve for x
    x = 91,591,623.44/10,686.69
  6. Step 6: Final answer
    x = 8,570.63

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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.