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Finding the Fourth Proportional to 7,363.86, 10,157.85 and 4,564.50

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Solution

The fourth proportional to 7,363.86, 10,157.85 and 4,564.50 is: 6,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,363.86 : 10,157.85 = 4,564.50 : x
  2. Step 2: Convert to fraction form
    7,363.86/10,157.85 = 4,564.50/x
  3. Step 3: Cross multiply
    7,363.86x = 10,157.85 × 4,564.50
  4. Step 4: Simplify right side
    7,363.86x = 46,365,506.33
  5. Step 5: Solve for x
    x = 46,365,506.33/7,363.86
  6. Step 6: Final answer
    x = 6,296.36

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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.