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Finding the Fourth Proportional to 7,682.34, 10,603.56 and 5,444.58

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Solution

The fourth proportional to 7,682.34, 10,603.56 and 5,444.58 is: 7,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.34 : 10,603.56 = 5,444.58 : x
  2. Step 2: Convert to fraction form
    7,682.34/10,603.56 = 5,444.58/x
  3. Step 3: Cross multiply
    7,682.34x = 10,603.56 × 5,444.58
  4. Step 4: Simplify right side
    7,682.34x = 57,731,930.70
  5. Step 5: Solve for x
    x = 57,731,930.70/7,682.34
  6. Step 6: Final answer
    x = 7,514.89

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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.