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Finding the Fourth Proportional to 10,056.57, 15,085.26 and 4,788.87

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Solution

The fourth proportional to 10,056.57, 15,085.26 and 4,788.87 is: 7,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.57 : 15,085.26 = 4,788.87 : x
  2. Step 2: Convert to fraction form
    10,056.57/15,085.26 = 4,788.87/x
  3. Step 3: Cross multiply
    10,056.57x = 15,085.26 × 4,788.87
  4. Step 4: Simplify right side
    10,056.57x = 72,241,349.06
  5. Step 5: Solve for x
    x = 72,241,349.06/10,056.57
  6. Step 6: Final answer
    x = 7,183.50

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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.