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Finding the Fourth Proportional to 7,852.25, 10,835.47 and 4,494.30

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Solution

The fourth proportional to 7,852.25, 10,835.47 and 4,494.30 is: 6,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.25 : 10,835.47 = 4,494.30 : x
  2. Step 2: Convert to fraction form
    7,852.25/10,835.47 = 4,494.30/x
  3. Step 3: Cross multiply
    7,852.25x = 10,835.47 × 4,494.30
  4. Step 4: Simplify right side
    7,852.25x = 48,697,852.82
  5. Step 5: Solve for x
    x = 48,697,852.82/7,852.25
  6. Step 6: Final answer
    x = 6,201.77

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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.