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Finding the Fourth Proportional to 10,578.66, 14,579.89 and 9,356.64

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Solution

The fourth proportional to 10,578.66, 14,579.89 and 9,356.64 is: 12,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.66 : 14,579.89 = 9,356.64 : x
  2. Step 2: Convert to fraction form
    10,578.66/14,579.89 = 9,356.64/x
  3. Step 3: Cross multiply
    10,578.66x = 14,579.89 × 9,356.64
  4. Step 4: Simplify right side
    10,578.66x = 136,418,781.97
  5. Step 5: Solve for x
    x = 136,418,781.97/10,578.66
  6. Step 6: Final answer
    x = 12,895.66

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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.