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Finding the Fourth Proportional to 10,431.05, 14,394.86 and 5,651.05

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Solution

The fourth proportional to 10,431.05, 14,394.86 and 5,651.05 is: 7,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.05 : 14,394.86 = 5,651.05 : x
  2. Step 2: Convert to fraction form
    10,431.05/14,394.86 = 5,651.05/x
  3. Step 3: Cross multiply
    10,431.05x = 14,394.86 × 5,651.05
  4. Step 4: Simplify right side
    10,431.05x = 81,346,051.74
  5. Step 5: Solve for x
    x = 81,346,051.74/10,431.05
  6. Step 6: Final answer
    x = 7,798.45

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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.