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Finding the Fourth Proportional to 11,594.95, 16,003.98 and 7,348.52

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Solution

The fourth proportional to 11,594.95, 16,003.98 and 7,348.52 is: 10,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.95 : 16,003.98 = 7,348.52 : x
  2. Step 2: Convert to fraction form
    11,594.95/16,003.98 = 7,348.52/x
  3. Step 3: Cross multiply
    11,594.95x = 16,003.98 × 7,348.52
  4. Step 4: Simplify right side
    11,594.95x = 117,605,607.12
  5. Step 5: Solve for x
    x = 117,605,607.12/11,594.95
  6. Step 6: Final answer
    x = 10,142.83

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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.