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Finding the Fourth Proportional to 7,999.53, 11,037.38 and 4,461.86

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Solution

The fourth proportional to 7,999.53, 11,037.38 and 4,461.86 is: 6,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.53 : 11,037.38 = 4,461.86 : x
  2. Step 2: Convert to fraction form
    7,999.53/11,037.38 = 4,461.86/x
  3. Step 3: Cross multiply
    7,999.53x = 11,037.38 × 4,461.86
  4. Step 4: Simplify right side
    7,999.53x = 49,247,166.83
  5. Step 5: Solve for x
    x = 49,247,166.83/7,999.53
  6. Step 6: Final answer
    x = 6,156.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.