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Finding the Fourth Proportional to 8,460.16, 11,674 and 4,922.80

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Solution

The fourth proportional to 8,460.16, 11,674 and 4,922.80 is: 6,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.16 : 11,674 = 4,922.80 : x
  2. Step 2: Convert to fraction form
    8,460.16/11,674 = 4,922.80/x
  3. Step 3: Cross multiply
    8,460.16x = 11,674 × 4,922.80
  4. Step 4: Simplify right side
    8,460.16x = 57,468,767.20
  5. Step 5: Solve for x
    x = 57,468,767.20/8,460.16
  6. Step 6: Final answer
    x = 6,792.87

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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.