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Finding the Fourth Proportional to 7,250.96, 10,011.40 and 6,405.20

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Solution

The fourth proportional to 7,250.96, 10,011.40 and 6,405.20 is: 8,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.96 : 10,011.40 = 6,405.20 : x
  2. Step 2: Convert to fraction form
    7,250.96/10,011.40 = 6,405.20/x
  3. Step 3: Cross multiply
    7,250.96x = 10,011.40 × 6,405.20
  4. Step 4: Simplify right side
    7,250.96x = 64,125,019.28
  5. Step 5: Solve for x
    x = 64,125,019.28/7,250.96
  6. Step 6: Final answer
    x = 8,843.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.