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Finding the Fourth Proportional to 10,574.88, 14,594.88 and 6,099.36

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Solution

The fourth proportional to 10,574.88, 14,594.88 and 6,099.36 is: 8,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.88 : 14,594.88 = 6,099.36 : x
  2. Step 2: Convert to fraction form
    10,574.88/14,594.88 = 6,099.36/x
  3. Step 3: Cross multiply
    10,574.88x = 14,594.88 × 6,099.36
  4. Step 4: Simplify right side
    10,574.88x = 89,019,427.28
  5. Step 5: Solve for x
    x = 89,019,427.28/10,574.88
  6. Step 6: Final answer
    x = 8,418.01

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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.