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Finding the Fourth Proportional to 7,176.15, 9,903.06 and 4,032.32

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Solution

The fourth proportional to 7,176.15, 9,903.06 and 4,032.32 is: 5,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.15 : 9,903.06 = 4,032.32 : x
  2. Step 2: Convert to fraction form
    7,176.15/9,903.06 = 4,032.32/x
  3. Step 3: Cross multiply
    7,176.15x = 9,903.06 × 4,032.32
  4. Step 4: Simplify right side
    7,176.15x = 39,932,257.38
  5. Step 5: Solve for x
    x = 39,932,257.38/7,176.15
  6. Step 6: Final answer
    x = 5,564.58

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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.