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Finding the Fourth Proportional to 7,530.84, 10,401.08 and 5,136.73

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Solution

The fourth proportional to 7,530.84, 10,401.08 and 5,136.73 is: 7,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.84 : 10,401.08 = 5,136.73 : x
  2. Step 2: Convert to fraction form
    7,530.84/10,401.08 = 5,136.73/x
  3. Step 3: Cross multiply
    7,530.84x = 10,401.08 × 5,136.73
  4. Step 4: Simplify right side
    7,530.84x = 53,427,539.67
  5. Step 5: Solve for x
    x = 53,427,539.67/7,530.84
  6. Step 6: Final answer
    x = 7,094.50

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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.