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Finding the Fourth Proportional to 7,862.13, 10,846.98 and 5,212.35

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Solution

The fourth proportional to 7,862.13, 10,846.98 and 5,212.35 is: 7,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.13 : 10,846.98 = 5,212.35 : x
  2. Step 2: Convert to fraction form
    7,862.13/10,846.98 = 5,212.35/x
  3. Step 3: Cross multiply
    7,862.13x = 10,846.98 × 5,212.35
  4. Step 4: Simplify right side
    7,862.13x = 56,538,256.20
  5. Step 5: Solve for x
    x = 56,538,256.20/7,862.13
  6. Step 6: Final answer
    x = 7,191.21

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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.