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Finding the Fourth Proportional to 10,578.94, 14,598.72 and 6,387.22

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Solution

The fourth proportional to 10,578.94, 14,598.72 and 6,387.22 is: 8,814.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.94 : 14,598.72 = 6,387.22 : x
  2. Step 2: Convert to fraction form
    10,578.94/14,598.72 = 6,387.22/x
  3. Step 3: Cross multiply
    10,578.94x = 14,598.72 × 6,387.22
  4. Step 4: Simplify right side
    10,578.94x = 93,245,236.36
  5. Step 5: Solve for x
    x = 93,245,236.36/10,578.94
  6. Step 6: Final answer
    x = 8,814.23

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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.