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Finding the Fourth Proportional to 7,762.12, 10,705.45 and 4,772.62

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Solution

The fourth proportional to 7,762.12, 10,705.45 and 4,772.62 is: 6,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.12 : 10,705.45 = 4,772.62 : x
  2. Step 2: Convert to fraction form
    7,762.12/10,705.45 = 4,772.62/x
  3. Step 3: Cross multiply
    7,762.12x = 10,705.45 × 4,772.62
  4. Step 4: Simplify right side
    7,762.12x = 51,093,044.78
  5. Step 5: Solve for x
    x = 51,093,044.78/7,762.12
  6. Step 6: Final answer
    x = 6,582.36

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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.