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Finding the Fourth Proportional to 10,151.90, 14,006.82 and 5,675.14

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Solution

The fourth proportional to 10,151.90, 14,006.82 and 5,675.14 is: 7,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.90 : 14,006.82 = 5,675.14 : x
  2. Step 2: Convert to fraction form
    10,151.90/14,006.82 = 5,675.14/x
  3. Step 3: Cross multiply
    10,151.90x = 14,006.82 × 5,675.14
  4. Step 4: Simplify right side
    10,151.90x = 79,490,664.45
  5. Step 5: Solve for x
    x = 79,490,664.45/10,151.90
  6. Step 6: Final answer
    x = 7,830.13

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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.