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Finding the Fourth Proportional to 8,698.66, 12,004.61 and 5,114.70

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Solution

The fourth proportional to 8,698.66, 12,004.61 and 5,114.70 is: 7,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.66 : 12,004.61 = 5,114.70 : x
  2. Step 2: Convert to fraction form
    8,698.66/12,004.61 = 5,114.70/x
  3. Step 3: Cross multiply
    8,698.66x = 12,004.61 × 5,114.70
  4. Step 4: Simplify right side
    8,698.66x = 61,399,953.19
  5. Step 5: Solve for x
    x = 61,399,953.19/8,698.66
  6. Step 6: Final answer
    x = 7,058.56

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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.