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Finding the Fourth Proportional to 7,134.02, 10,701.05 and 4,208.30

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Solution

The fourth proportional to 7,134.02, 10,701.05 and 4,208.30 is: 6,312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.02 : 10,701.05 = 4,208.30 : x
  2. Step 2: Convert to fraction form
    7,134.02/10,701.05 = 4,208.30/x
  3. Step 3: Cross multiply
    7,134.02x = 10,701.05 × 4,208.30
  4. Step 4: Simplify right side
    7,134.02x = 45,033,228.72
  5. Step 5: Solve for x
    x = 45,033,228.72/7,134.02
  6. Step 6: Final answer
    x = 6,312.46

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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.