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Finding the Fourth Proportional to 7,654.32, 11,482.80 and 2,461.44

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Solution

The fourth proportional to 7,654.32, 11,482.80 and 2,461.44 is: 3,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.32 : 11,482.80 = 2,461.44 : x
  2. Step 2: Convert to fraction form
    7,654.32/11,482.80 = 2,461.44/x
  3. Step 3: Cross multiply
    7,654.32x = 11,482.80 × 2,461.44
  4. Step 4: Simplify right side
    7,654.32x = 28,264,223.23
  5. Step 5: Solve for x
    x = 28,264,223.23/7,654.32
  6. Step 6: Final answer
    x = 3,692.58

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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.