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Finding the Fourth Proportional to 10,688.46, 16,035.94 and 7,574.49

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Solution

The fourth proportional to 10,688.46, 16,035.94 and 7,574.49 is: 11,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.46 : 16,035.94 = 7,574.49 : x
  2. Step 2: Convert to fraction form
    10,688.46/16,035.94 = 7,574.49/x
  3. Step 3: Cross multiply
    10,688.46x = 16,035.94 × 7,574.49
  4. Step 4: Simplify right side
    10,688.46x = 121,464,108.37
  5. Step 5: Solve for x
    x = 121,464,108.37/10,688.46
  6. Step 6: Final answer
    x = 11,364.04

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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.