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Finding the Fourth Proportional to 10,670.81, 16,014.38 and 4,831.52

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Solution

The fourth proportional to 10,670.81, 16,014.38 and 4,831.52 is: 7,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.81 : 16,014.38 = 4,831.52 : x
  2. Step 2: Convert to fraction form
    10,670.81/16,014.38 = 4,831.52/x
  3. Step 3: Cross multiply
    10,670.81x = 16,014.38 × 4,831.52
  4. Step 4: Simplify right side
    10,670.81x = 77,373,809.34
  5. Step 5: Solve for x
    x = 77,373,809.34/10,670.81
  6. Step 6: Final answer
    x = 7,250.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.