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Finding the Fourth Proportional to 11,423.34, 15,759.57 and 7,443

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Solution

The fourth proportional to 11,423.34, 15,759.57 and 7,443 is: 10,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.34 : 15,759.57 = 7,443 : x
  2. Step 2: Convert to fraction form
    11,423.34/15,759.57 = 7,443/x
  3. Step 3: Cross multiply
    11,423.34x = 15,759.57 × 7,443
  4. Step 4: Simplify right side
    11,423.34x = 117,298,479.51
  5. Step 5: Solve for x
    x = 117,298,479.51/11,423.34
  6. Step 6: Final answer
    x = 10,268.32

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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.