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Finding the Fourth Proportional to 7,365.50, 10,165.06 and 4,533.60

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Solution

The fourth proportional to 7,365.50, 10,165.06 and 4,533.60 is: 6,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.50 : 10,165.06 = 4,533.60 : x
  2. Step 2: Convert to fraction form
    7,365.50/10,165.06 = 4,533.60/x
  3. Step 3: Cross multiply
    7,365.50x = 10,165.06 × 4,533.60
  4. Step 4: Simplify right side
    7,365.50x = 46,084,316.02
  5. Step 5: Solve for x
    x = 46,084,316.02/7,365.50
  6. Step 6: Final answer
    x = 6,256.78

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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.