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Finding the Fourth Proportional to 7,852.84, 10,832.40 and 4,707.20

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Solution

The fourth proportional to 7,852.84, 10,832.40 and 4,707.20 is: 6,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.84 : 10,832.40 = 4,707.20 : x
  2. Step 2: Convert to fraction form
    7,852.84/10,832.40 = 4,707.20/x
  3. Step 3: Cross multiply
    7,852.84x = 10,832.40 × 4,707.20
  4. Step 4: Simplify right side
    7,852.84x = 50,990,273.28
  5. Step 5: Solve for x
    x = 50,990,273.28/7,852.84
  6. Step 6: Final answer
    x = 6,493.23

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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.