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Finding the Fourth Proportional to 7,645.71, 11,455.28 and 4,138.13

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Solution

The fourth proportional to 7,645.71, 11,455.28 and 4,138.13 is: 6,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.71 : 11,455.28 = 4,138.13 : x
  2. Step 2: Convert to fraction form
    7,645.71/11,455.28 = 4,138.13/x
  3. Step 3: Cross multiply
    7,645.71x = 11,455.28 × 4,138.13
  4. Step 4: Simplify right side
    7,645.71x = 47,403,476.81
  5. Step 5: Solve for x
    x = 47,403,476.81/7,645.71
  6. Step 6: Final answer
    x = 6,200.01

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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.