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Finding the Fourth Proportional to 10,476, 14,450.40 and 8,385.12

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Solution

The fourth proportional to 10,476, 14,450.40 and 8,385.12 is: 11,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 14,450.40 = 8,385.12 : x
  2. Step 2: Convert to fraction form
    10,476/14,450.40 = 8,385.12/x
  3. Step 3: Cross multiply
    10,476x = 14,450.40 × 8,385.12
  4. Step 4: Simplify right side
    10,476x = 121,168,338.05
  5. Step 5: Solve for x
    x = 121,168,338.05/10,476
  6. Step 6: Final answer
    x = 11,566.28

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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.