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Finding the Fourth Proportional to 7,750.02, 11,625.03 and 6,376.47

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Solution

The fourth proportional to 7,750.02, 11,625.03 and 6,376.47 is: 9,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.02 : 11,625.03 = 6,376.47 : x
  2. Step 2: Convert to fraction form
    7,750.02/11,625.03 = 6,376.47/x
  3. Step 3: Cross multiply
    7,750.02x = 11,625.03 × 6,376.47
  4. Step 4: Simplify right side
    7,750.02x = 74,126,655.04
  5. Step 5: Solve for x
    x = 74,126,655.04/7,750.02
  6. Step 6: Final answer
    x = 9,564.71

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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.