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Finding the Fourth Proportional to 7,594.29, 11,398.72 and 3,701.43

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Solution

The fourth proportional to 7,594.29, 11,398.72 and 3,701.43 is: 5,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.29 : 11,398.72 = 3,701.43 : x
  2. Step 2: Convert to fraction form
    7,594.29/11,398.72 = 3,701.43/x
  3. Step 3: Cross multiply
    7,594.29x = 11,398.72 × 3,701.43
  4. Step 4: Simplify right side
    7,594.29x = 42,191,564.17
  5. Step 5: Solve for x
    x = 42,191,564.17/7,594.29
  6. Step 6: Final answer
    x = 5,555.70

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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.