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Finding the Fourth Proportional to 7,763.12, 10,712.20 and 4,406.32

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Solution

The fourth proportional to 7,763.12, 10,712.20 and 4,406.32 is: 6,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.12 : 10,712.20 = 4,406.32 : x
  2. Step 2: Convert to fraction form
    7,763.12/10,712.20 = 4,406.32/x
  3. Step 3: Cross multiply
    7,763.12x = 10,712.20 × 4,406.32
  4. Step 4: Simplify right side
    7,763.12x = 47,201,381.10
  5. Step 5: Solve for x
    x = 47,201,381.10/7,763.12
  6. Step 6: Final answer
    x = 6,080.21

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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.