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Finding the Fourth Proportional to 11,545.54, 15,928.86 and 7,568.98

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Solution

The fourth proportional to 11,545.54, 15,928.86 and 7,568.98 is: 10,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.54 : 15,928.86 = 7,568.98 : x
  2. Step 2: Convert to fraction form
    11,545.54/15,928.86 = 7,568.98/x
  3. Step 3: Cross multiply
    11,545.54x = 15,928.86 × 7,568.98
  4. Step 4: Simplify right side
    11,545.54x = 120,565,222.76
  5. Step 5: Solve for x
    x = 120,565,222.76/11,545.54
  6. Step 6: Final answer
    x = 10,442.58

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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.