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Finding the Fourth Proportional to 7,552.02, 10,422.93 and 5,434.56

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Solution

The fourth proportional to 7,552.02, 10,422.93 and 5,434.56 is: 7,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.02 : 10,422.93 = 5,434.56 : x
  2. Step 2: Convert to fraction form
    7,552.02/10,422.93 = 5,434.56/x
  3. Step 3: Cross multiply
    7,552.02x = 10,422.93 × 5,434.56
  4. Step 4: Simplify right side
    7,552.02x = 56,644,038.46
  5. Step 5: Solve for x
    x = 56,644,038.46/7,552.02
  6. Step 6: Final answer
    x = 7,500.51

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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.