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Finding the Fourth Proportional to 7,762.96, 10,705.64 and 5,073.04

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Solution

The fourth proportional to 7,762.96, 10,705.64 and 5,073.04 is: 6,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.96 : 10,705.64 = 5,073.04 : x
  2. Step 2: Convert to fraction form
    7,762.96/10,705.64 = 5,073.04/x
  3. Step 3: Cross multiply
    7,762.96x = 10,705.64 × 5,073.04
  4. Step 4: Simplify right side
    7,762.96x = 54,310,139.95
  5. Step 5: Solve for x
    x = 54,310,139.95/7,762.96
  6. Step 6: Final answer
    x = 6,996.06

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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.