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Finding the Fourth Proportional to 7,741.64, 10,683.14 and 4,204.76

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Solution

The fourth proportional to 7,741.64, 10,683.14 and 4,204.76 is: 5,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.64 : 10,683.14 = 4,204.76 : x
  2. Step 2: Convert to fraction form
    7,741.64/10,683.14 = 4,204.76/x
  3. Step 3: Cross multiply
    7,741.64x = 10,683.14 × 4,204.76
  4. Step 4: Simplify right side
    7,741.64x = 44,920,039.75
  5. Step 5: Solve for x
    x = 44,920,039.75/7,741.64
  6. Step 6: Final answer
    x = 5,802.39

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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.