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Finding the Fourth Proportional to 7,485.60, 11,206.80 and 5,023.20

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Solution

The fourth proportional to 7,485.60, 11,206.80 and 5,023.20 is: 7,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.60 : 11,206.80 = 5,023.20 : x
  2. Step 2: Convert to fraction form
    7,485.60/11,206.80 = 5,023.20/x
  3. Step 3: Cross multiply
    7,485.60x = 11,206.80 × 5,023.20
  4. Step 4: Simplify right side
    7,485.60x = 56,293,997.76
  5. Step 5: Solve for x
    x = 56,293,997.76/7,485.60
  6. Step 6: Final answer
    x = 7,520.31

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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.