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Finding the Fourth Proportional to 10,856.34, 16,285.14 and 3,064.50

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Solution

The fourth proportional to 10,856.34, 16,285.14 and 3,064.50 is: 4,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.34 : 16,285.14 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    10,856.34/16,285.14 = 3,064.50/x
  3. Step 3: Cross multiply
    10,856.34x = 16,285.14 × 3,064.50
  4. Step 4: Simplify right side
    10,856.34x = 49,905,811.53
  5. Step 5: Solve for x
    x = 49,905,811.53/10,856.34
  6. Step 6: Final answer
    x = 4,596.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.