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Finding the Fourth Proportional to 12,710.12, 19,051.50 and 5,310.77

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Solution

The fourth proportional to 12,710.12, 19,051.50 and 5,310.77 is: 7,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.12 : 19,051.50 = 5,310.77 : x
  2. Step 2: Convert to fraction form
    12,710.12/19,051.50 = 5,310.77/x
  3. Step 3: Cross multiply
    12,710.12x = 19,051.50 × 5,310.77
  4. Step 4: Simplify right side
    12,710.12x = 101,178,059.31
  5. Step 5: Solve for x
    x = 101,178,059.31/12,710.12
  6. Step 6: Final answer
    x = 7,960.44

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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.