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Finding the Fourth Proportional to 7,852.40, 10,835.87 and 4,495.05

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Solution

The fourth proportional to 7,852.40, 10,835.87 and 4,495.05 is: 6,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.40 : 10,835.87 = 4,495.05 : x
  2. Step 2: Convert to fraction form
    7,852.40/10,835.87 = 4,495.05/x
  3. Step 3: Cross multiply
    7,852.40x = 10,835.87 × 4,495.05
  4. Step 4: Simplify right side
    7,852.40x = 48,707,777.44
  5. Step 5: Solve for x
    x = 48,707,777.44/7,852.40
  6. Step 6: Final answer
    x = 6,202.92

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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.