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Finding the Fourth Proportional to 7,114.56, 10,671.02 and 3,365.50

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Solution

The fourth proportional to 7,114.56, 10,671.02 and 3,365.50 is: 5,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.56 : 10,671.02 = 3,365.50 : x
  2. Step 2: Convert to fraction form
    7,114.56/10,671.02 = 3,365.50/x
  3. Step 3: Cross multiply
    7,114.56x = 10,671.02 × 3,365.50
  4. Step 4: Simplify right side
    7,114.56x = 35,913,317.81
  5. Step 5: Solve for x
    x = 35,913,317.81/7,114.56
  6. Step 6: Final answer
    x = 5,047.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.