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Finding the Fourth Proportional to 13,510.14, 18,643.93 and 7,846.28

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Solution

The fourth proportional to 13,510.14, 18,643.93 and 7,846.28 is: 10,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.14 : 18,643.93 = 7,846.28 : x
  2. Step 2: Convert to fraction form
    13,510.14/18,643.93 = 7,846.28/x
  3. Step 3: Cross multiply
    13,510.14x = 18,643.93 × 7,846.28
  4. Step 4: Simplify right side
    13,510.14x = 146,285,502.46
  5. Step 5: Solve for x
    x = 146,285,502.46/13,510.14
  6. Step 6: Final answer
    x = 10,827.83

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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.