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Finding the Fourth Proportional to 11,050.02, 15,238.73 and 7,465.64

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Solution

The fourth proportional to 11,050.02, 15,238.73 and 7,465.64 is: 10,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,050.02 : 15,238.73 = 7,465.64 : x
  2. Step 2: Convert to fraction form
    11,050.02/15,238.73 = 7,465.64/x
  3. Step 3: Cross multiply
    11,050.02x = 15,238.73 × 7,465.64
  4. Step 4: Simplify right side
    11,050.02x = 113,766,814.71
  5. Step 5: Solve for x
    x = 113,766,814.71/11,050.02
  6. Step 6: Final answer
    x = 10,295.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.