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Finding the Fourth Proportional to 10,709.62, 16,060.14 and 4,465.40

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Solution

The fourth proportional to 10,709.62, 16,060.14 and 4,465.40 is: 6,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.62 : 16,060.14 = 4,465.40 : x
  2. Step 2: Convert to fraction form
    10,709.62/16,060.14 = 4,465.40/x
  3. Step 3: Cross multiply
    10,709.62x = 16,060.14 × 4,465.40
  4. Step 4: Simplify right side
    10,709.62x = 71,714,868.86
  5. Step 5: Solve for x
    x = 71,714,868.86/10,709.62
  6. Step 6: Final answer
    x = 6,696.31

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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.