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Finding the Fourth Proportional to 7,586.52, 10,465.40 and 5,224.56

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Solution

The fourth proportional to 7,586.52, 10,465.40 and 5,224.56 is: 7,207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.52 : 10,465.40 = 5,224.56 : x
  2. Step 2: Convert to fraction form
    7,586.52/10,465.40 = 5,224.56/x
  3. Step 3: Cross multiply
    7,586.52x = 10,465.40 × 5,224.56
  4. Step 4: Simplify right side
    7,586.52x = 54,677,110.22
  5. Step 5: Solve for x
    x = 54,677,110.22/7,586.52
  6. Step 6: Final answer
    x = 7,207.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.