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Finding the Fourth Proportional to 10,906.34, 16,357.04 and 4,330.76

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Solution

The fourth proportional to 10,906.34, 16,357.04 and 4,330.76 is: 6,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.34 : 16,357.04 = 4,330.76 : x
  2. Step 2: Convert to fraction form
    10,906.34/16,357.04 = 4,330.76/x
  3. Step 3: Cross multiply
    10,906.34x = 16,357.04 × 4,330.76
  4. Step 4: Simplify right side
    10,906.34x = 70,838,414.55
  5. Step 5: Solve for x
    x = 70,838,414.55/10,906.34
  6. Step 6: Final answer
    x = 6,495.16

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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.