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Finding the Fourth Proportional to 10,643.45, 14,686.25 and 6,166.40

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Solution

The fourth proportional to 10,643.45, 14,686.25 and 6,166.40 is: 8,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.45 : 14,686.25 = 6,166.40 : x
  2. Step 2: Convert to fraction form
    10,643.45/14,686.25 = 6,166.40/x
  3. Step 3: Cross multiply
    10,643.45x = 14,686.25 × 6,166.40
  4. Step 4: Simplify right side
    10,643.45x = 90,561,187.74
  5. Step 5: Solve for x
    x = 90,561,187.74/10,643.45
  6. Step 6: Final answer
    x = 8,508.63

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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.