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Finding the Fourth Proportional to 10,650.84, 14,690.88 and 7,014.84

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Solution

The fourth proportional to 10,650.84, 14,690.88 and 7,014.84 is: 9,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.84 : 14,690.88 = 7,014.84 : x
  2. Step 2: Convert to fraction form
    10,650.84/14,690.88 = 7,014.84/x
  3. Step 3: Cross multiply
    10,650.84x = 14,690.88 × 7,014.84
  4. Step 4: Simplify right side
    10,650.84x = 103,054,172.66
  5. Step 5: Solve for x
    x = 103,054,172.66/10,650.84
  6. Step 6: Final answer
    x = 9,675.68

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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.