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Finding the Fourth Proportional to 7,762.48, 10,706.44 and 4,927.39

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Solution

The fourth proportional to 7,762.48, 10,706.44 and 4,927.39 is: 6,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.48 : 10,706.44 = 4,927.39 : x
  2. Step 2: Convert to fraction form
    7,762.48/10,706.44 = 4,927.39/x
  3. Step 3: Cross multiply
    7,762.48x = 10,706.44 × 4,927.39
  4. Step 4: Simplify right side
    7,762.48x = 52,754,766.31
  5. Step 5: Solve for x
    x = 52,754,766.31/7,762.48
  6. Step 6: Final answer
    x = 6,796.12

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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.