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Finding the Fourth Proportional to 11,904.86, 17,858.00 and 4,977.02

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Solution

The fourth proportional to 11,904.86, 17,858.00 and 4,977.02 is: 7,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.86 : 17,858.00 = 4,977.02 : x
  2. Step 2: Convert to fraction form
    11,904.86/17,858.00 = 4,977.02/x
  3. Step 3: Cross multiply
    11,904.86x = 17,858.00 × 4,977.02
  4. Step 4: Simplify right side
    11,904.86x = 88,879,546.31
  5. Step 5: Solve for x
    x = 88,879,546.31/11,904.86
  6. Step 6: Final answer
    x = 7,465.82

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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.