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Finding the Fourth Proportional to 7,692.35, 10,614.51 and 4,335.05

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Solution

The fourth proportional to 7,692.35, 10,614.51 and 4,335.05 is: 5,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.35 : 10,614.51 = 4,335.05 : x
  2. Step 2: Convert to fraction form
    7,692.35/10,614.51 = 4,335.05/x
  3. Step 3: Cross multiply
    7,692.35x = 10,614.51 × 4,335.05
  4. Step 4: Simplify right side
    7,692.35x = 46,014,378.50
  5. Step 5: Solve for x
    x = 46,014,378.50/7,692.35
  6. Step 6: Final answer
    x = 5,981.84

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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.