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Finding the Fourth Proportional to 13,057.04, 18,018.64 and 7,468

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Solution

The fourth proportional to 13,057.04, 18,018.64 and 7,468 is: 10,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.04 : 18,018.64 = 7,468 : x
  2. Step 2: Convert to fraction form
    13,057.04/18,018.64 = 7,468/x
  3. Step 3: Cross multiply
    13,057.04x = 18,018.64 × 7,468
  4. Step 4: Simplify right side
    13,057.04x = 134,563,203.52
  5. Step 5: Solve for x
    x = 134,563,203.52/13,057.04
  6. Step 6: Final answer
    x = 10,305.80

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Why These Related Problems?

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