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Finding the Fourth Proportional to 7,792.74, 10,756.89 and 4,649.22

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Solution

The fourth proportional to 7,792.74, 10,756.89 and 4,649.22 is: 6,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.74 : 10,756.89 = 4,649.22 : x
  2. Step 2: Convert to fraction form
    7,792.74/10,756.89 = 4,649.22/x
  3. Step 3: Cross multiply
    7,792.74x = 10,756.89 × 4,649.22
  4. Step 4: Simplify right side
    7,792.74x = 50,011,148.13
  5. Step 5: Solve for x
    x = 50,011,148.13/7,792.74
  6. Step 6: Final answer
    x = 6,417.66

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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.