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Finding the Fourth Proportional to 7,881.12, 11,824.40 and 3,501.64

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Solution

The fourth proportional to 7,881.12, 11,824.40 and 3,501.64 is: 5,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.12 : 11,824.40 = 3,501.64 : x
  2. Step 2: Convert to fraction form
    7,881.12/11,824.40 = 3,501.64/x
  3. Step 3: Cross multiply
    7,881.12x = 11,824.40 × 3,501.64
  4. Step 4: Simplify right side
    7,881.12x = 41,404,792.02
  5. Step 5: Solve for x
    x = 41,404,792.02/7,881.12
  6. Step 6: Final answer
    x = 5,253.67

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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.