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Finding the Fourth Proportional to 7,784.60, 11,677.63 and 3,103.48

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Solution

The fourth proportional to 7,784.60, 11,677.63 and 3,103.48 is: 4,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.60 : 11,677.63 = 3,103.48 : x
  2. Step 2: Convert to fraction form
    7,784.60/11,677.63 = 3,103.48/x
  3. Step 3: Cross multiply
    7,784.60x = 11,677.63 × 3,103.48
  4. Step 4: Simplify right side
    7,784.60x = 36,241,254.20
  5. Step 5: Solve for x
    x = 36,241,254.20/7,784.60
  6. Step 6: Final answer
    x = 4,655.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.