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Finding the Fourth Proportional to 7,131.84, 10,707.46 and 4,014.05

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Solution

The fourth proportional to 7,131.84, 10,707.46 and 4,014.05 is: 6,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.84 : 10,707.46 = 4,014.05 : x
  2. Step 2: Convert to fraction form
    7,131.84/10,707.46 = 4,014.05/x
  3. Step 3: Cross multiply
    7,131.84x = 10,707.46 × 4,014.05
  4. Step 4: Simplify right side
    7,131.84x = 42,980,216.24
  5. Step 5: Solve for x
    x = 42,980,216.24/7,131.84
  6. Step 6: Final answer
    x = 6,026.53

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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.