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Finding the Fourth Proportional to 11,146.99, 15,382.51 and 6,111.08

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Solution

The fourth proportional to 11,146.99, 15,382.51 and 6,111.08 is: 8,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.99 : 15,382.51 = 6,111.08 : x
  2. Step 2: Convert to fraction form
    11,146.99/15,382.51 = 6,111.08/x
  3. Step 3: Cross multiply
    11,146.99x = 15,382.51 × 6,111.08
  4. Step 4: Simplify right side
    11,146.99x = 94,003,779.60
  5. Step 5: Solve for x
    x = 94,003,779.60/11,146.99
  6. Step 6: Final answer
    x = 8,433.11

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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.