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Finding the Fourth Proportional to 11,948.68, 17,898.41 and 7,006.40

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Solution

The fourth proportional to 11,948.68, 17,898.41 and 7,006.40 is: 10,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.68 : 17,898.41 = 7,006.40 : x
  2. Step 2: Convert to fraction form
    11,948.68/17,898.41 = 7,006.40/x
  3. Step 3: Cross multiply
    11,948.68x = 17,898.41 × 7,006.40
  4. Step 4: Simplify right side
    11,948.68x = 125,403,476.23
  5. Step 5: Solve for x
    x = 125,403,476.23/11,948.68
  6. Step 6: Final answer
    x = 10,495.17

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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.