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Finding the Fourth Proportional to 7,831.15, 10,806.93 and 4,294.30

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Solution

The fourth proportional to 7,831.15, 10,806.93 and 4,294.30 is: 5,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.15 : 10,806.93 = 4,294.30 : x
  2. Step 2: Convert to fraction form
    7,831.15/10,806.93 = 4,294.30/x
  3. Step 3: Cross multiply
    7,831.15x = 10,806.93 × 4,294.30
  4. Step 4: Simplify right side
    7,831.15x = 46,408,199.50
  5. Step 5: Solve for x
    x = 46,408,199.50/7,831.15
  6. Step 6: Final answer
    x = 5,926.10

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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.