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Finding the Fourth Proportional to 8,514.02, 11,749.05 and 4,737.06

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Solution

The fourth proportional to 8,514.02, 11,749.05 and 4,737.06 is: 6,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.02 : 11,749.05 = 4,737.06 : x
  2. Step 2: Convert to fraction form
    8,514.02/11,749.05 = 4,737.06/x
  3. Step 3: Cross multiply
    8,514.02x = 11,749.05 × 4,737.06
  4. Step 4: Simplify right side
    8,514.02x = 55,655,954.79
  5. Step 5: Solve for x
    x = 55,655,954.79/8,514.02
  6. Step 6: Final answer
    x = 6,536.98

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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.