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Finding the Fourth Proportional to 11,925.39, 16,460.25 and 7,446.45

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Solution

The fourth proportional to 11,925.39, 16,460.25 and 7,446.45 is: 10,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.39 : 16,460.25 = 7,446.45 : x
  2. Step 2: Convert to fraction form
    11,925.39/16,460.25 = 7,446.45/x
  3. Step 3: Cross multiply
    11,925.39x = 16,460.25 × 7,446.45
  4. Step 4: Simplify right side
    11,925.39x = 122,570,428.61
  5. Step 5: Solve for x
    x = 122,570,428.61/11,925.39
  6. Step 6: Final answer
    x = 10,278.11

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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.