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Finding the Fourth Proportional to 7,107.32, 10,658.28 and 3,405.62

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Solution

The fourth proportional to 7,107.32, 10,658.28 and 3,405.62 is: 5,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.32 : 10,658.28 = 3,405.62 : x
  2. Step 2: Convert to fraction form
    7,107.32/10,658.28 = 3,405.62/x
  3. Step 3: Cross multiply
    7,107.32x = 10,658.28 × 3,405.62
  4. Step 4: Simplify right side
    7,107.32x = 36,298,051.53
  5. Step 5: Solve for x
    x = 36,298,051.53/7,107.32
  6. Step 6: Final answer
    x = 5,107.14

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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.