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Finding the Fourth Proportional to 10,375.94, 14,314.23 and 7,017.51

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Solution

The fourth proportional to 10,375.94, 14,314.23 and 7,017.51 is: 9,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.94 : 14,314.23 = 7,017.51 : x
  2. Step 2: Convert to fraction form
    10,375.94/14,314.23 = 7,017.51/x
  3. Step 3: Cross multiply
    10,375.94x = 14,314.23 × 7,017.51
  4. Step 4: Simplify right side
    10,375.94x = 100,450,252.17
  5. Step 5: Solve for x
    x = 100,450,252.17/10,375.94
  6. Step 6: Final answer
    x = 9,681.08

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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.