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Finding the Fourth Proportional to 8,142.34, 11,239.08 and 4,785.06

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Solution

The fourth proportional to 8,142.34, 11,239.08 and 4,785.06 is: 6,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.34 : 11,239.08 = 4,785.06 : x
  2. Step 2: Convert to fraction form
    8,142.34/11,239.08 = 4,785.06/x
  3. Step 3: Cross multiply
    8,142.34x = 11,239.08 × 4,785.06
  4. Step 4: Simplify right side
    8,142.34x = 53,779,672.14
  5. Step 5: Solve for x
    x = 53,779,672.14/8,142.34
  6. Step 6: Final answer
    x = 6,604.94

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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.