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Finding the Fourth Proportional to 10,599.34, 15,898.74 and 5,056.60

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Solution

The fourth proportional to 10,599.34, 15,898.74 and 5,056.60 is: 7,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.34 : 15,898.74 = 5,056.60 : x
  2. Step 2: Convert to fraction form
    10,599.34/15,898.74 = 5,056.60/x
  3. Step 3: Cross multiply
    10,599.34x = 15,898.74 × 5,056.60
  4. Step 4: Simplify right side
    10,599.34x = 80,393,568.68
  5. Step 5: Solve for x
    x = 80,393,568.68/10,599.34
  6. Step 6: Final answer
    x = 7,584.77

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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.