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Finding the Fourth Proportional to 8,430.82, 11,632.89 and 7,176.58

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Solution

The fourth proportional to 8,430.82, 11,632.89 and 7,176.58 is: 9,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.82 : 11,632.89 = 7,176.58 : x
  2. Step 2: Convert to fraction form
    8,430.82/11,632.89 = 7,176.58/x
  3. Step 3: Cross multiply
    8,430.82x = 11,632.89 × 7,176.58
  4. Step 4: Simplify right side
    8,430.82x = 83,484,365.72
  5. Step 5: Solve for x
    x = 83,484,365.72/8,430.82
  6. Step 6: Final answer
    x = 9,902.28

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