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Finding the Fourth Proportional to 10,602.84, 14,625.30 and 6,831

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Solution

The fourth proportional to 10,602.84, 14,625.30 and 6,831 is: 9,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.84 : 14,625.30 = 6,831 : x
  2. Step 2: Convert to fraction form
    10,602.84/14,625.30 = 6,831/x
  3. Step 3: Cross multiply
    10,602.84x = 14,625.30 × 6,831
  4. Step 4: Simplify right side
    10,602.84x = 99,905,424.30
  5. Step 5: Solve for x
    x = 99,905,424.30/10,602.84
  6. Step 6: Final answer
    x = 9,422.52

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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.