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Finding the Fourth Proportional to 10,574.87, 14,591.61 and 6,099.21

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Solution

The fourth proportional to 10,574.87, 14,591.61 and 6,099.21 is: 8,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.87 : 14,591.61 = 6,099.21 : x
  2. Step 2: Convert to fraction form
    10,574.87/14,591.61 = 6,099.21/x
  3. Step 3: Cross multiply
    10,574.87x = 14,591.61 × 6,099.21
  4. Step 4: Simplify right side
    10,574.87x = 88,997,293.63
  5. Step 5: Solve for x
    x = 88,997,293.63/10,574.87
  6. Step 6: Final answer
    x = 8,415.93

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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.