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Finding the Fourth Proportional to 11,599.25, 16,007.00 and 7,122.95

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Solution

The fourth proportional to 11,599.25, 16,007.00 and 7,122.95 is: 9,829.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.25 : 16,007.00 = 7,122.95 : x
  2. Step 2: Convert to fraction form
    11,599.25/16,007.00 = 7,122.95/x
  3. Step 3: Cross multiply
    11,599.25x = 16,007.00 × 7,122.95
  4. Step 4: Simplify right side
    11,599.25x = 114,017,135.13
  5. Step 5: Solve for x
    x = 114,017,135.13/11,599.25
  6. Step 6: Final answer
    x = 9,829.70

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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.