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Finding the Fourth Proportional to 7,564.46, 10,440.23 and 4,377.29

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Solution

The fourth proportional to 7,564.46, 10,440.23 and 4,377.29 is: 6,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.46 : 10,440.23 = 4,377.29 : x
  2. Step 2: Convert to fraction form
    7,564.46/10,440.23 = 4,377.29/x
  3. Step 3: Cross multiply
    7,564.46x = 10,440.23 × 4,377.29
  4. Step 4: Simplify right side
    7,564.46x = 45,699,840.29
  5. Step 5: Solve for x
    x = 45,699,840.29/7,564.46
  6. Step 6: Final answer
    x = 6,041.39

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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.