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Finding the Fourth Proportional to 7,586.84, 10,473.55 and 5,881.50

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Solution

The fourth proportional to 7,586.84, 10,473.55 and 5,881.50 is: 8,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.84 : 10,473.55 = 5,881.50 : x
  2. Step 2: Convert to fraction form
    7,586.84/10,473.55 = 5,881.50/x
  3. Step 3: Cross multiply
    7,586.84x = 10,473.55 × 5,881.50
  4. Step 4: Simplify right side
    7,586.84x = 61,600,169.62
  5. Step 5: Solve for x
    x = 61,600,169.62/7,586.84
  6. Step 6: Final answer
    x = 8,119.34

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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.