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Finding the Fourth Proportional to 7,430.56, 10,254.47 and 4,244.38

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Solution

The fourth proportional to 7,430.56, 10,254.47 and 4,244.38 is: 5,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.56 : 10,254.47 = 4,244.38 : x
  2. Step 2: Convert to fraction form
    7,430.56/10,254.47 = 4,244.38/x
  3. Step 3: Cross multiply
    7,430.56x = 10,254.47 × 4,244.38
  4. Step 4: Simplify right side
    7,430.56x = 43,523,867.38
  5. Step 5: Solve for x
    x = 43,523,867.38/7,430.56
  6. Step 6: Final answer
    x = 5,857.41

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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.