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Finding the Fourth Proportional to 7,870.16, 10,857.40 and 4,512.21

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Solution

The fourth proportional to 7,870.16, 10,857.40 and 4,512.21 is: 6,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.16 : 10,857.40 = 4,512.21 : x
  2. Step 2: Convert to fraction form
    7,870.16/10,857.40 = 4,512.21/x
  3. Step 3: Cross multiply
    7,870.16x = 10,857.40 × 4,512.21
  4. Step 4: Simplify right side
    7,870.16x = 48,990,829.55
  5. Step 5: Solve for x
    x = 48,990,829.55/7,870.16
  6. Step 6: Final answer
    x = 6,224.88

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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.