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Finding the Fourth Proportional to 7,862.40, 10,848.96 and 5,205.12

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Solution

The fourth proportional to 7,862.40, 10,848.96 and 5,205.12 is: 7,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.40 : 10,848.96 = 5,205.12 : x
  2. Step 2: Convert to fraction form
    7,862.40/10,848.96 = 5,205.12/x
  3. Step 3: Cross multiply
    7,862.40x = 10,848.96 × 5,205.12
  4. Step 4: Simplify right side
    7,862.40x = 56,470,138.68
  5. Step 5: Solve for x
    x = 56,470,138.68/7,862.40
  6. Step 6: Final answer
    x = 7,182.30

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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.