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Finding the Fourth Proportional to 7,298.64, 10,950.93 and 3,400.65

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Solution

The fourth proportional to 7,298.64, 10,950.93 and 3,400.65 is: 5,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.64 : 10,950.93 = 3,400.65 : x
  2. Step 2: Convert to fraction form
    7,298.64/10,950.93 = 3,400.65/x
  3. Step 3: Cross multiply
    7,298.64x = 10,950.93 × 3,400.65
  4. Step 4: Simplify right side
    7,298.64x = 37,240,280.10
  5. Step 5: Solve for x
    x = 37,240,280.10/7,298.64
  6. Step 6: Final answer
    x = 5,102.36

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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.