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Finding the Fourth Proportional to 8,334.67, 12,495.81 and 5,047

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Solution

The fourth proportional to 8,334.67, 12,495.81 and 5,047 is: 7,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.67 : 12,495.81 = 5,047 : x
  2. Step 2: Convert to fraction form
    8,334.67/12,495.81 = 5,047/x
  3. Step 3: Cross multiply
    8,334.67x = 12,495.81 × 5,047
  4. Step 4: Simplify right side
    8,334.67x = 63,066,353.07
  5. Step 5: Solve for x
    x = 63,066,353.07/8,334.67
  6. Step 6: Final answer
    x = 7,566.75

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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.