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Finding the Fourth Proportional to 7,784.88, 11,665.12 and 4,499.52

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Solution

The fourth proportional to 7,784.88, 11,665.12 and 4,499.52 is: 6,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.88 : 11,665.12 = 4,499.52 : x
  2. Step 2: Convert to fraction form
    7,784.88/11,665.12 = 4,499.52/x
  3. Step 3: Cross multiply
    7,784.88x = 11,665.12 × 4,499.52
  4. Step 4: Simplify right side
    7,784.88x = 52,487,440.74
  5. Step 5: Solve for x
    x = 52,487,440.74/7,784.88
  6. Step 6: Final answer
    x = 6,742.23

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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.