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Finding the Fourth Proportional to 11,428, 17,143.38 and 4,030.94

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Solution

The fourth proportional to 11,428, 17,143.38 and 4,030.94 is: 6,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428 : 17,143.38 = 4,030.94 : x
  2. Step 2: Convert to fraction form
    11,428/17,143.38 = 4,030.94/x
  3. Step 3: Cross multiply
    11,428x = 17,143.38 × 4,030.94
  4. Step 4: Simplify right side
    11,428x = 69,103,936.18
  5. Step 5: Solve for x
    x = 69,103,936.18/11,428
  6. Step 6: Final answer
    x = 6,046.90

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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.