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Finding the Fourth Proportional to 7,881.36, 11,820.96 and 4,596

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Solution

The fourth proportional to 7,881.36, 11,820.96 and 4,596 is: 6,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.36 : 11,820.96 = 4,596 : x
  2. Step 2: Convert to fraction form
    7,881.36/11,820.96 = 4,596/x
  3. Step 3: Cross multiply
    7,881.36x = 11,820.96 × 4,596
  4. Step 4: Simplify right side
    7,881.36x = 54,329,132.16
  5. Step 5: Solve for x
    x = 54,329,132.16/7,881.36
  6. Step 6: Final answer
    x = 6,893.37

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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.