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Finding the Fourth Proportional to 10,642.61, 14,662.32 and 8,403.66

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Solution

The fourth proportional to 10,642.61, 14,662.32 and 8,403.66 is: 11,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.61 : 14,662.32 = 8,403.66 : x
  2. Step 2: Convert to fraction form
    10,642.61/14,662.32 = 8,403.66/x
  3. Step 3: Cross multiply
    10,642.61x = 14,662.32 × 8,403.66
  4. Step 4: Simplify right side
    10,642.61x = 123,217,152.09
  5. Step 5: Solve for x
    x = 123,217,152.09/10,642.61
  6. Step 6: Final answer
    x = 11,577.72

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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.