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Finding the Fourth Proportional to 10,574.58, 14,594.21 and 6,098.33

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Solution

The fourth proportional to 10,574.58, 14,594.21 and 6,098.33 is: 8,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.58 : 14,594.21 = 6,098.33 : x
  2. Step 2: Convert to fraction form
    10,574.58/14,594.21 = 6,098.33/x
  3. Step 3: Cross multiply
    10,574.58x = 14,594.21 × 6,098.33
  4. Step 4: Simplify right side
    10,574.58x = 89,000,287.43
  5. Step 5: Solve for x
    x = 89,000,287.43/10,574.58
  6. Step 6: Final answer
    x = 8,416.44

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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.