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Finding the Fourth Proportional to 7,575.90, 11,303 and 6,744.30

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Solution

The fourth proportional to 7,575.90, 11,303 and 6,744.30 is: 10,062.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.90 : 11,303 = 6,744.30 : x
  2. Step 2: Convert to fraction form
    7,575.90/11,303 = 6,744.30/x
  3. Step 3: Cross multiply
    7,575.90x = 11,303 × 6,744.30
  4. Step 4: Simplify right side
    7,575.90x = 76,230,822.90
  5. Step 5: Solve for x
    x = 76,230,822.90/7,575.90
  6. Step 6: Final answer
    x = 10,062.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.