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Finding the Fourth Proportional to 11,553.60, 15,940.80 and 7,358.40

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Solution

The fourth proportional to 11,553.60, 15,940.80 and 7,358.40 is: 10,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.60 : 15,940.80 = 7,358.40 : x
  2. Step 2: Convert to fraction form
    11,553.60/15,940.80 = 7,358.40/x
  3. Step 3: Cross multiply
    11,553.60x = 15,940.80 × 7,358.40
  4. Step 4: Simplify right side
    11,553.60x = 117,298,782.72
  5. Step 5: Solve for x
    x = 117,298,782.72/11,553.60
  6. Step 6: Final answer
    x = 10,152.57

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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.