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Finding the Fourth Proportional to 13,752.53, 18,978.51 and 7,464.91

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Solution

The fourth proportional to 13,752.53, 18,978.51 and 7,464.91 is: 10,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.53 : 18,978.51 = 7,464.91 : x
  2. Step 2: Convert to fraction form
    13,752.53/18,978.51 = 7,464.91/x
  3. Step 3: Cross multiply
    13,752.53x = 18,978.51 × 7,464.91
  4. Step 4: Simplify right side
    13,752.53x = 141,672,869.08
  5. Step 5: Solve for x
    x = 141,672,869.08/13,752.53
  6. Step 6: Final answer
    x = 10,301.59

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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.