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Finding the Fourth Proportional to 7,386.57, 10,193.57 and 4,404.14

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Solution

The fourth proportional to 7,386.57, 10,193.57 and 4,404.14 is: 6,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.57 : 10,193.57 = 4,404.14 : x
  2. Step 2: Convert to fraction form
    7,386.57/10,193.57 = 4,404.14/x
  3. Step 3: Cross multiply
    7,386.57x = 10,193.57 × 4,404.14
  4. Step 4: Simplify right side
    7,386.57x = 44,893,836.39
  5. Step 5: Solve for x
    x = 44,893,836.39/7,386.57
  6. Step 6: Final answer
    x = 6,077.76

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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.