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Finding the Fourth Proportional to 8,357.37, 11,533.10 and 4,580.75

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Solution

The fourth proportional to 8,357.37, 11,533.10 and 4,580.75 is: 6,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.37 : 11,533.10 = 4,580.75 : x
  2. Step 2: Convert to fraction form
    8,357.37/11,533.10 = 4,580.75/x
  3. Step 3: Cross multiply
    8,357.37x = 11,533.10 × 4,580.75
  4. Step 4: Simplify right side
    8,357.37x = 52,830,247.83
  5. Step 5: Solve for x
    x = 52,830,247.83/8,357.37
  6. Step 6: Final answer
    x = 6,321.40

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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.