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Finding the Fourth Proportional to 7,098.84, 10,627.74 and 5,351.22

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Solution

The fourth proportional to 7,098.84, 10,627.74 and 5,351.22 is: 8,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.84 : 10,627.74 = 5,351.22 : x
  2. Step 2: Convert to fraction form
    7,098.84/10,627.74 = 5,351.22/x
  3. Step 3: Cross multiply
    7,098.84x = 10,627.74 × 5,351.22
  4. Step 4: Simplify right side
    7,098.84x = 56,871,374.84
  5. Step 5: Solve for x
    x = 56,871,374.84/7,098.84
  6. Step 6: Final answer
    x = 8,011.36

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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.