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Finding the Fourth Proportional to 7,835.04, 11,750.04 and 4,135.14

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Solution

The fourth proportional to 7,835.04, 11,750.04 and 4,135.14 is: 6,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.04 : 11,750.04 = 4,135.14 : x
  2. Step 2: Convert to fraction form
    7,835.04/11,750.04 = 4,135.14/x
  3. Step 3: Cross multiply
    7,835.04x = 11,750.04 × 4,135.14
  4. Step 4: Simplify right side
    7,835.04x = 48,588,060.41
  5. Step 5: Solve for x
    x = 48,588,060.41/7,835.04
  6. Step 6: Final answer
    x = 6,201.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.