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Finding the Fourth Proportional to 10,607.40, 14,638.18 and 6,414.44

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Solution

The fourth proportional to 10,607.40, 14,638.18 and 6,414.44 is: 8,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.40 : 14,638.18 = 6,414.44 : x
  2. Step 2: Convert to fraction form
    10,607.40/14,638.18 = 6,414.44/x
  3. Step 3: Cross multiply
    10,607.40x = 14,638.18 × 6,414.44
  4. Step 4: Simplify right side
    10,607.40x = 93,895,727.32
  5. Step 5: Solve for x
    x = 93,895,727.32/10,607.40
  6. Step 6: Final answer
    x = 8,851.91

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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.