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Finding the Fourth Proportional to 8,277.20, 12,415.80 and 7,643.60

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Solution

The fourth proportional to 8,277.20, 12,415.80 and 7,643.60 is: 11,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.20 : 12,415.80 = 7,643.60 : x
  2. Step 2: Convert to fraction form
    8,277.20/12,415.80 = 7,643.60/x
  3. Step 3: Cross multiply
    8,277.20x = 12,415.80 × 7,643.60
  4. Step 4: Simplify right side
    8,277.20x = 94,901,408.88
  5. Step 5: Solve for x
    x = 94,901,408.88/8,277.20
  6. Step 6: Final answer
    x = 11,465.40

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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.