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Finding the Fourth Proportional to 10,444.34, 14,413.20 and 5,728.74

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Solution

The fourth proportional to 10,444.34, 14,413.20 and 5,728.74 is: 7,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.34 : 14,413.20 = 5,728.74 : x
  2. Step 2: Convert to fraction form
    10,444.34/14,413.20 = 5,728.74/x
  3. Step 3: Cross multiply
    10,444.34x = 14,413.20 × 5,728.74
  4. Step 4: Simplify right side
    10,444.34x = 82,569,475.37
  5. Step 5: Solve for x
    x = 82,569,475.37/10,444.34
  6. Step 6: Final answer
    x = 7,905.67

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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.