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Finding the Fourth Proportional to 7,015.74, 10,509.54 and 4,234.02

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Solution

The fourth proportional to 7,015.74, 10,509.54 and 4,234.02 is: 6,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.74 : 10,509.54 = 4,234.02 : x
  2. Step 2: Convert to fraction form
    7,015.74/10,509.54 = 4,234.02/x
  3. Step 3: Cross multiply
    7,015.74x = 10,509.54 × 4,234.02
  4. Step 4: Simplify right side
    7,015.74x = 44,497,602.55
  5. Step 5: Solve for x
    x = 44,497,602.55/7,015.74
  6. Step 6: Final answer
    x = 6,342.54

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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.