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Finding the Fourth Proportional to 7,023.78, 10,534.86 and 1,830.06

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Solution

The fourth proportional to 7,023.78, 10,534.86 and 1,830.06 is: 2,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.78 : 10,534.86 = 1,830.06 : x
  2. Step 2: Convert to fraction form
    7,023.78/10,534.86 = 1,830.06/x
  3. Step 3: Cross multiply
    7,023.78x = 10,534.86 × 1,830.06
  4. Step 4: Simplify right side
    7,023.78x = 19,279,425.89
  5. Step 5: Solve for x
    x = 19,279,425.89/7,023.78
  6. Step 6: Final answer
    x = 2,744.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.