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Finding the Fourth Proportional to 11,416.40, 15,762.39 and 7,392.95

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Solution

The fourth proportional to 11,416.40, 15,762.39 and 7,392.95 is: 10,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.40 : 15,762.39 = 7,392.95 : x
  2. Step 2: Convert to fraction form
    11,416.40/15,762.39 = 7,392.95/x
  3. Step 3: Cross multiply
    11,416.40x = 15,762.39 × 7,392.95
  4. Step 4: Simplify right side
    11,416.40x = 116,530,561.15
  5. Step 5: Solve for x
    x = 116,530,561.15/11,416.40
  6. Step 6: Final answer
    x = 10,207.29

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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.