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Finding the Fourth Proportional to 7,099.84, 10,648.54 and 1,904.50

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Solution

The fourth proportional to 7,099.84, 10,648.54 and 1,904.50 is: 2,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.84 : 10,648.54 = 1,904.50 : x
  2. Step 2: Convert to fraction form
    7,099.84/10,648.54 = 1,904.50/x
  3. Step 3: Cross multiply
    7,099.84x = 10,648.54 × 1,904.50
  4. Step 4: Simplify right side
    7,099.84x = 20,280,144.43
  5. Step 5: Solve for x
    x = 20,280,144.43/7,099.84
  6. Step 6: Final answer
    x = 2,856.42

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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.