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Finding the Fourth Proportional to 8,489.46, 11,707.29 and 6,598.34

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Solution

The fourth proportional to 8,489.46, 11,707.29 and 6,598.34 is: 9,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.46 : 11,707.29 = 6,598.34 : x
  2. Step 2: Convert to fraction form
    8,489.46/11,707.29 = 6,598.34/x
  3. Step 3: Cross multiply
    8,489.46x = 11,707.29 × 6,598.34
  4. Step 4: Simplify right side
    8,489.46x = 77,248,621.36
  5. Step 5: Solve for x
    x = 77,248,621.36/8,489.46
  6. Step 6: Final answer
    x = 9,099.36

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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.