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Finding the Fourth Proportional to 7,649.45, 10,556.76 and 4,462.50

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Solution

The fourth proportional to 7,649.45, 10,556.76 and 4,462.50 is: 6,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.45 : 10,556.76 = 4,462.50 : x
  2. Step 2: Convert to fraction form
    7,649.45/10,556.76 = 4,462.50/x
  3. Step 3: Cross multiply
    7,649.45x = 10,556.76 × 4,462.50
  4. Step 4: Simplify right side
    7,649.45x = 47,109,541.50
  5. Step 5: Solve for x
    x = 47,109,541.50/7,649.45
  6. Step 6: Final answer
    x = 6,158.55

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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.