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Finding the Fourth Proportional to 5,307.36, 7,960.81 and 1,411.77

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Solution

The fourth proportional to 5,307.36, 7,960.81 and 1,411.77 is: 2,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.36 : 7,960.81 = 1,411.77 : x
  2. Step 2: Convert to fraction form
    5,307.36/7,960.81 = 1,411.77/x
  3. Step 3: Cross multiply
    5,307.36x = 7,960.81 × 1,411.77
  4. Step 4: Simplify right side
    5,307.36x = 11,238,832.73
  5. Step 5: Solve for x
    x = 11,238,832.73/5,307.36
  6. Step 6: Final answer
    x = 2,117.59

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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.