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Finding the Fourth Proportional to 10,574.68, 14,591.22 and 6,098.60

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Solution

The fourth proportional to 10,574.68, 14,591.22 and 6,098.60 is: 8,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.68 : 14,591.22 = 6,098.60 : x
  2. Step 2: Convert to fraction form
    10,574.68/14,591.22 = 6,098.60/x
  3. Step 3: Cross multiply
    10,574.68x = 14,591.22 × 6,098.60
  4. Step 4: Simplify right side
    10,574.68x = 88,986,014.29
  5. Step 5: Solve for x
    x = 88,986,014.29/10,574.68
  6. Step 6: Final answer
    x = 8,415.01

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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.