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Finding the Fourth Proportional to 7,851.58, 10,835.15 and 4,494.38

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Solution

The fourth proportional to 7,851.58, 10,835.15 and 4,494.38 is: 6,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.58 : 10,835.15 = 4,494.38 : x
  2. Step 2: Convert to fraction form
    7,851.58/10,835.15 = 4,494.38/x
  3. Step 3: Cross multiply
    7,851.58x = 10,835.15 × 4,494.38
  4. Step 4: Simplify right side
    7,851.58x = 48,697,204.81
  5. Step 5: Solve for x
    x = 48,697,204.81/7,851.58
  6. Step 6: Final answer
    x = 6,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.