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Finding the Fourth Proportional to 7,577.68, 11,354.16 and 4,649.80

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Solution

The fourth proportional to 7,577.68, 11,354.16 and 4,649.80 is: 6,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.68 : 11,354.16 = 4,649.80 : x
  2. Step 2: Convert to fraction form
    7,577.68/11,354.16 = 4,649.80/x
  3. Step 3: Cross multiply
    7,577.68x = 11,354.16 × 4,649.80
  4. Step 4: Simplify right side
    7,577.68x = 52,794,573.17
  5. Step 5: Solve for x
    x = 52,794,573.17/7,577.68
  6. Step 6: Final answer
    x = 6,967.12

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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.