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Finding the Fourth Proportional to 11,748, 17,624.28 and 3,428.06

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Solution

The fourth proportional to 11,748, 17,624.28 and 3,428.06 is: 5,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748 : 17,624.28 = 3,428.06 : x
  2. Step 2: Convert to fraction form
    11,748/17,624.28 = 3,428.06/x
  3. Step 3: Cross multiply
    11,748x = 17,624.28 × 3,428.06
  4. Step 4: Simplify right side
    11,748x = 60,417,089.30
  5. Step 5: Solve for x
    x = 60,417,089.30/11,748
  6. Step 6: Final answer
    x = 5,142.76

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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.