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Finding the Fourth Proportional to 7,555.74, 10,423.56 and 5,035.39

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Solution

The fourth proportional to 7,555.74, 10,423.56 and 5,035.39 is: 6,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.74 : 10,423.56 = 5,035.39 : x
  2. Step 2: Convert to fraction form
    7,555.74/10,423.56 = 5,035.39/x
  3. Step 3: Cross multiply
    7,555.74x = 10,423.56 × 5,035.39
  4. Step 4: Simplify right side
    7,555.74x = 52,486,689.79
  5. Step 5: Solve for x
    x = 52,486,689.79/7,555.74
  6. Step 6: Final answer
    x = 6,946.60

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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.