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Finding the Fourth Proportional to 7,862.40, 10,848.96 and 5,205.60

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Solution

The fourth proportional to 7,862.40, 10,848.96 and 5,205.60 is: 7,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.40 : 10,848.96 = 5,205.60 : x
  2. Step 2: Convert to fraction form
    7,862.40/10,848.96 = 5,205.60/x
  3. Step 3: Cross multiply
    7,862.40x = 10,848.96 × 5,205.60
  4. Step 4: Simplify right side
    7,862.40x = 56,475,346.18
  5. Step 5: Solve for x
    x = 56,475,346.18/7,862.40
  6. Step 6: Final answer
    x = 7,182.97

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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.