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Finding the Fourth Proportional to 11,405.76, 15,734.52 and 7,425.40

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Solution

The fourth proportional to 11,405.76, 15,734.52 and 7,425.40 is: 10,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.76 : 15,734.52 = 7,425.40 : x
  2. Step 2: Convert to fraction form
    11,405.76/15,734.52 = 7,425.40/x
  3. Step 3: Cross multiply
    11,405.76x = 15,734.52 × 7,425.40
  4. Step 4: Simplify right side
    11,405.76x = 116,835,104.81
  5. Step 5: Solve for x
    x = 116,835,104.81/11,405.76
  6. Step 6: Final answer
    x = 10,243.52

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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.