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Finding the Fourth Proportional to 7,176.69, 9,904.32 and 4,782.51

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Solution

The fourth proportional to 7,176.69, 9,904.32 and 4,782.51 is: 6,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.69 : 9,904.32 = 4,782.51 : x
  2. Step 2: Convert to fraction form
    7,176.69/9,904.32 = 4,782.51/x
  3. Step 3: Cross multiply
    7,176.69x = 9,904.32 × 4,782.51
  4. Step 4: Simplify right side
    7,176.69x = 47,367,509.44
  5. Step 5: Solve for x
    x = 47,367,509.44/7,176.69
  6. Step 6: Final answer
    x = 6,600.19

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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.