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Finding the Fourth Proportional to 7,580.27, 10,460.68 and 4,223.46

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Solution

The fourth proportional to 7,580.27, 10,460.68 and 4,223.46 is: 5,828.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.27 : 10,460.68 = 4,223.46 : x
  2. Step 2: Convert to fraction form
    7,580.27/10,460.68 = 4,223.46/x
  3. Step 3: Cross multiply
    7,580.27x = 10,460.68 × 4,223.46
  4. Step 4: Simplify right side
    7,580.27x = 44,180,233.38
  5. Step 5: Solve for x
    x = 44,180,233.38/7,580.27
  6. Step 6: Final answer
    x = 5,828.32

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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.