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Finding the Fourth Proportional to 10,557.42, 15,840.74 and 5,014.68

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Solution

The fourth proportional to 10,557.42, 15,840.74 and 5,014.68 is: 7,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.42 : 15,840.74 = 5,014.68 : x
  2. Step 2: Convert to fraction form
    10,557.42/15,840.74 = 5,014.68/x
  3. Step 3: Cross multiply
    10,557.42x = 15,840.74 × 5,014.68
  4. Step 4: Simplify right side
    10,557.42x = 79,436,216.99
  5. Step 5: Solve for x
    x = 79,436,216.99/10,557.42
  6. Step 6: Final answer
    x = 7,524.21

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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.