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Finding the Fourth Proportional to 11,846.60, 17,776.04 and 4,831.76

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Solution

The fourth proportional to 11,846.60, 17,776.04 and 4,831.76 is: 7,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.60 : 17,776.04 = 4,831.76 : x
  2. Step 2: Convert to fraction form
    11,846.60/17,776.04 = 4,831.76/x
  3. Step 3: Cross multiply
    11,846.60x = 17,776.04 × 4,831.76
  4. Step 4: Simplify right side
    11,846.60x = 85,889,482.23
  5. Step 5: Solve for x
    x = 85,889,482.23/11,846.60
  6. Step 6: Final answer
    x = 7,250.14

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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.