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Finding the Fourth Proportional to 7,534.50, 10,401.22 and 5,298.28

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Solution

The fourth proportional to 7,534.50, 10,401.22 and 5,298.28 is: 7,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.50 : 10,401.22 = 5,298.28 : x
  2. Step 2: Convert to fraction form
    7,534.50/10,401.22 = 5,298.28/x
  3. Step 3: Cross multiply
    7,534.50x = 10,401.22 × 5,298.28
  4. Step 4: Simplify right side
    7,534.50x = 55,108,575.90
  5. Step 5: Solve for x
    x = 55,108,575.90/7,534.50
  6. Step 6: Final answer
    x = 7,314.16

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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.