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Finding the Fourth Proportional to 10,594.41, 15,893.89 and 3,574.60

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Solution

The fourth proportional to 10,594.41, 15,893.89 and 3,574.60 is: 5,362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.41 : 15,893.89 = 3,574.60 : x
  2. Step 2: Convert to fraction form
    10,594.41/15,893.89 = 3,574.60/x
  3. Step 3: Cross multiply
    10,594.41x = 15,893.89 × 3,574.60
  4. Step 4: Simplify right side
    10,594.41x = 56,814,250.52
  5. Step 5: Solve for x
    x = 56,814,250.52/10,594.41
  6. Step 6: Final answer
    x = 5,362.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.