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Finding the Fourth Proportional to 8,282.34, 11,430.66 and 5,139

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Solution

The fourth proportional to 8,282.34, 11,430.66 and 5,139 is: 7,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.34 : 11,430.66 = 5,139 : x
  2. Step 2: Convert to fraction form
    8,282.34/11,430.66 = 5,139/x
  3. Step 3: Cross multiply
    8,282.34x = 11,430.66 × 5,139
  4. Step 4: Simplify right side
    8,282.34x = 58,742,161.74
  5. Step 5: Solve for x
    x = 58,742,161.74/8,282.34
  6. Step 6: Final answer
    x = 7,092.46

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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.