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Finding the Fourth Proportional to 10,376.64, 14,314.80 and 7,020.63

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Solution

The fourth proportional to 10,376.64, 14,314.80 and 7,020.63 is: 9,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.64 : 14,314.80 = 7,020.63 : x
  2. Step 2: Convert to fraction form
    10,376.64/14,314.80 = 7,020.63/x
  3. Step 3: Cross multiply
    10,376.64x = 14,314.80 × 7,020.63
  4. Step 4: Simplify right side
    10,376.64x = 100,498,914.32
  5. Step 5: Solve for x
    x = 100,498,914.32/10,376.64
  6. Step 6: Final answer
    x = 9,685.11

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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.