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Finding the Fourth Proportional to 10,562.37, 15,837.15 and 5,291.25

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Solution

The fourth proportional to 10,562.37, 15,837.15 and 5,291.25 is: 7,933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.37 : 15,837.15 = 5,291.25 : x
  2. Step 2: Convert to fraction form
    10,562.37/15,837.15 = 5,291.25/x
  3. Step 3: Cross multiply
    10,562.37x = 15,837.15 × 5,291.25
  4. Step 4: Simplify right side
    10,562.37x = 83,798,293.48
  5. Step 5: Solve for x
    x = 83,798,293.48/10,562.37
  6. Step 6: Final answer
    x = 7,933.66

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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.