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Finding the Fourth Proportional to 7,691.63, 11,537.46 and 4,402.45

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Solution

The fourth proportional to 7,691.63, 11,537.46 and 4,402.45 is: 6,603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.63 : 11,537.46 = 4,402.45 : x
  2. Step 2: Convert to fraction form
    7,691.63/11,537.46 = 4,402.45/x
  3. Step 3: Cross multiply
    7,691.63x = 11,537.46 × 4,402.45
  4. Step 4: Simplify right side
    7,691.63x = 50,793,117.58
  5. Step 5: Solve for x
    x = 50,793,117.58/7,691.63
  6. Step 6: Final answer
    x = 6,603.68

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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.