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Finding the Fourth Proportional to 7,684.29, 10,603.89 and 4,327.20

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Solution

The fourth proportional to 7,684.29, 10,603.89 and 4,327.20 is: 5,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.29 : 10,603.89 = 4,327.20 : x
  2. Step 2: Convert to fraction form
    7,684.29/10,603.89 = 4,327.20/x
  3. Step 3: Cross multiply
    7,684.29x = 10,603.89 × 4,327.20
  4. Step 4: Simplify right side
    7,684.29x = 45,885,152.81
  5. Step 5: Solve for x
    x = 45,885,152.81/7,684.29
  6. Step 6: Final answer
    x = 5,971.29

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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.