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Finding the Fourth Proportional to 7,444.47, 10,266.14 and 5,027.15

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Solution

The fourth proportional to 7,444.47, 10,266.14 and 5,027.15 is: 6,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.47 : 10,266.14 = 5,027.15 : x
  2. Step 2: Convert to fraction form
    7,444.47/10,266.14 = 5,027.15/x
  3. Step 3: Cross multiply
    7,444.47x = 10,266.14 × 5,027.15
  4. Step 4: Simplify right side
    7,444.47x = 51,609,406.19
  5. Step 5: Solve for x
    x = 51,609,406.19/7,444.47
  6. Step 6: Final answer
    x = 6,932.59

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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.