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Finding the Fourth Proportional to 12,059.16, 18,090.87 and 4,663

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Solution

The fourth proportional to 12,059.16, 18,090.87 and 4,663 is: 6,995.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,059.16 : 18,090.87 = 4,663 : x
  2. Step 2: Convert to fraction form
    12,059.16/18,090.87 = 4,663/x
  3. Step 3: Cross multiply
    12,059.16x = 18,090.87 × 4,663
  4. Step 4: Simplify right side
    12,059.16x = 84,357,726.81
  5. Step 5: Solve for x
    x = 84,357,726.81/12,059.16
  6. Step 6: Final answer
    x = 6,995.32

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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.