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Finding the Fourth Proportional to 10,116.98, 13,955.41 and 7,875.30

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Solution

The fourth proportional to 10,116.98, 13,955.41 and 7,875.30 is: 10,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.98 : 13,955.41 = 7,875.30 : x
  2. Step 2: Convert to fraction form
    10,116.98/13,955.41 = 7,875.30/x
  3. Step 3: Cross multiply
    10,116.98x = 13,955.41 × 7,875.30
  4. Step 4: Simplify right side
    10,116.98x = 109,903,020.68
  5. Step 5: Solve for x
    x = 109,903,020.68/10,116.98
  6. Step 6: Final answer
    x = 10,863.23

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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.