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Finding the Fourth Proportional to 7,884.90, 10,881 and 4,742.10

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Solution

The fourth proportional to 7,884.90, 10,881 and 4,742.10 is: 6,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.90 : 10,881 = 4,742.10 : x
  2. Step 2: Convert to fraction form
    7,884.90/10,881 = 4,742.10/x
  3. Step 3: Cross multiply
    7,884.90x = 10,881 × 4,742.10
  4. Step 4: Simplify right side
    7,884.90x = 51,598,790.10
  5. Step 5: Solve for x
    x = 51,598,790.10/7,884.90
  6. Step 6: Final answer
    x = 6,544.00

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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.