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Finding the Fourth Proportional to 11,934.48, 16,468.80 and 7,458

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Solution

The fourth proportional to 11,934.48, 16,468.80 and 7,458 is: 10,291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.48 : 16,468.80 = 7,458 : x
  2. Step 2: Convert to fraction form
    11,934.48/16,468.80 = 7,458/x
  3. Step 3: Cross multiply
    11,934.48x = 16,468.80 × 7,458
  4. Step 4: Simplify right side
    11,934.48x = 122,824,310.40
  5. Step 5: Solve for x
    x = 122,824,310.40/11,934.48
  6. Step 6: Final answer
    x = 10,291.55

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