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Finding the Fourth Proportional to 10,675.84, 16,017.36 and 6,730.16

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Solution

The fourth proportional to 10,675.84, 16,017.36 and 6,730.16 is: 10,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.84 : 16,017.36 = 6,730.16 : x
  2. Step 2: Convert to fraction form
    10,675.84/16,017.36 = 6,730.16/x
  3. Step 3: Cross multiply
    10,675.84x = 16,017.36 × 6,730.16
  4. Step 4: Simplify right side
    10,675.84x = 107,799,395.58
  5. Step 5: Solve for x
    x = 107,799,395.58/10,675.84
  6. Step 6: Final answer
    x = 10,097.51

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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.