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Finding the Fourth Proportional to 8,904.67, 13,352.80 and 5,208.02

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Solution

The fourth proportional to 8,904.67, 13,352.80 and 5,208.02 is: 7,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,904.67 : 13,352.80 = 5,208.02 : x
  2. Step 2: Convert to fraction form
    8,904.67/13,352.80 = 5,208.02/x
  3. Step 3: Cross multiply
    8,904.67x = 13,352.80 × 5,208.02
  4. Step 4: Simplify right side
    8,904.67x = 69,541,649.46
  5. Step 5: Solve for x
    x = 69,541,649.46/8,904.67
  6. Step 6: Final answer
    x = 7,809.57

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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.