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Finding the Fourth Proportional to 8,953.31, 13,429.02 and 2,380.16

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Solution

The fourth proportional to 8,953.31, 13,429.02 and 2,380.16 is: 3,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.31 : 13,429.02 = 2,380.16 : x
  2. Step 2: Convert to fraction form
    8,953.31/13,429.02 = 2,380.16/x
  3. Step 3: Cross multiply
    8,953.31x = 13,429.02 × 2,380.16
  4. Step 4: Simplify right side
    8,953.31x = 31,963,216.24
  5. Step 5: Solve for x
    x = 31,963,216.24/8,953.31
  6. Step 6: Final answer
    x = 3,569.99

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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.