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Finding the Fourth Proportional to 11,407.26, 15,741.90 and 6,690.64

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Solution

The fourth proportional to 11,407.26, 15,741.90 and 6,690.64 is: 9,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.26 : 15,741.90 = 6,690.64 : x
  2. Step 2: Convert to fraction form
    11,407.26/15,741.90 = 6,690.64/x
  3. Step 3: Cross multiply
    11,407.26x = 15,741.90 × 6,690.64
  4. Step 4: Simplify right side
    11,407.26x = 105,323,385.82
  5. Step 5: Solve for x
    x = 105,323,385.82/11,407.26
  6. Step 6: Final answer
    x = 9,233.01

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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.