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Finding the Fourth Proportional to 11,537.57, 15,920.51 and 7,063.94

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Solution

The fourth proportional to 11,537.57, 15,920.51 and 7,063.94 is: 9,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.57 : 15,920.51 = 7,063.94 : x
  2. Step 2: Convert to fraction form
    11,537.57/15,920.51 = 7,063.94/x
  3. Step 3: Cross multiply
    11,537.57x = 15,920.51 × 7,063.94
  4. Step 4: Simplify right side
    11,537.57x = 112,461,412.49
  5. Step 5: Solve for x
    x = 112,461,412.49/11,537.57
  6. Step 6: Final answer
    x = 9,747.41

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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.