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Finding the Fourth Proportional to 7,026.48, 10,539.72 and 1,832.31

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Solution

The fourth proportional to 7,026.48, 10,539.72 and 1,832.31 is: 2,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.48 : 10,539.72 = 1,832.31 : x
  2. Step 2: Convert to fraction form
    7,026.48/10,539.72 = 1,832.31/x
  3. Step 3: Cross multiply
    7,026.48x = 10,539.72 × 1,832.31
  4. Step 4: Simplify right side
    7,026.48x = 19,312,034.35
  5. Step 5: Solve for x
    x = 19,312,034.35/7,026.48
  6. Step 6: Final answer
    x = 2,748.47

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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.