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Finding the Fourth Proportional to 7,649.68, 11,445.52 and 4,531.36

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Solution

The fourth proportional to 7,649.68, 11,445.52 and 4,531.36 is: 6,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.68 : 11,445.52 = 4,531.36 : x
  2. Step 2: Convert to fraction form
    7,649.68/11,445.52 = 4,531.36/x
  3. Step 3: Cross multiply
    7,649.68x = 11,445.52 × 4,531.36
  4. Step 4: Simplify right side
    7,649.68x = 51,863,771.51
  5. Step 5: Solve for x
    x = 51,863,771.51/7,649.68
  6. Step 6: Final answer
    x = 6,779.86

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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.