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Finding the Fourth Proportional to 7,502.09, 11,250.95 and 3,114.09

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Solution

The fourth proportional to 7,502.09, 11,250.95 and 3,114.09 is: 4,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.09 : 11,250.95 = 3,114.09 : x
  2. Step 2: Convert to fraction form
    7,502.09/11,250.95 = 3,114.09/x
  3. Step 3: Cross multiply
    7,502.09x = 11,250.95 × 3,114.09
  4. Step 4: Simplify right side
    7,502.09x = 35,036,455.32
  5. Step 5: Solve for x
    x = 35,036,455.32/7,502.09
  6. Step 6: Final answer
    x = 4,670.23

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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.