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Finding the Fourth Proportional to 11,830.95, 16,321.01 and 7,359.93

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Solution

The fourth proportional to 11,830.95, 16,321.01 and 7,359.93 is: 10,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.95 : 16,321.01 = 7,359.93 : x
  2. Step 2: Convert to fraction form
    11,830.95/16,321.01 = 7,359.93/x
  3. Step 3: Cross multiply
    11,830.95x = 16,321.01 × 7,359.93
  4. Step 4: Simplify right side
    11,830.95x = 120,121,454.33
  5. Step 5: Solve for x
    x = 120,121,454.33/11,830.95
  6. Step 6: Final answer
    x = 10,153.15

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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.