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Finding the Fourth Proportional to 7,649.25, 10,555.14 and 4,461.69

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Solution

The fourth proportional to 7,649.25, 10,555.14 and 4,461.69 is: 6,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.25 : 10,555.14 = 4,461.69 : x
  2. Step 2: Convert to fraction form
    7,649.25/10,555.14 = 4,461.69/x
  3. Step 3: Cross multiply
    7,649.25x = 10,555.14 × 4,461.69
  4. Step 4: Simplify right side
    7,649.25x = 47,093,762.59
  5. Step 5: Solve for x
    x = 47,093,762.59/7,649.25
  6. Step 6: Final answer
    x = 6,156.65

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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.