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Finding the Fourth Proportional to 8,953.92, 13,431 and 3,110.66

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Solution

The fourth proportional to 8,953.92, 13,431 and 3,110.66 is: 4,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.92 : 13,431 = 3,110.66 : x
  2. Step 2: Convert to fraction form
    8,953.92/13,431 = 3,110.66/x
  3. Step 3: Cross multiply
    8,953.92x = 13,431 × 3,110.66
  4. Step 4: Simplify right side
    8,953.92x = 41,779,274.46
  5. Step 5: Solve for x
    x = 41,779,274.46/8,953.92
  6. Step 6: Final answer
    x = 4,666.03

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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.