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Finding the Fourth Proportional to 11,779.98, 16,256.01 and 6,474.78

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Solution

The fourth proportional to 11,779.98, 16,256.01 and 6,474.78 is: 8,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.98 : 16,256.01 = 6,474.78 : x
  2. Step 2: Convert to fraction form
    11,779.98/16,256.01 = 6,474.78/x
  3. Step 3: Cross multiply
    11,779.98x = 16,256.01 × 6,474.78
  4. Step 4: Simplify right side
    11,779.98x = 105,254,088.43
  5. Step 5: Solve for x
    x = 105,254,088.43/11,779.98
  6. Step 6: Final answer
    x = 8,935.00

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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.