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Finding the Fourth Proportional to 10,560.96, 14,574.06 and 5,845.14

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Solution

The fourth proportional to 10,560.96, 14,574.06 and 5,845.14 is: 8,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.96 : 14,574.06 = 5,845.14 : x
  2. Step 2: Convert to fraction form
    10,560.96/14,574.06 = 5,845.14/x
  3. Step 3: Cross multiply
    10,560.96x = 14,574.06 × 5,845.14
  4. Step 4: Simplify right side
    10,560.96x = 85,187,421.07
  5. Step 5: Solve for x
    x = 85,187,421.07/10,560.96
  6. Step 6: Final answer
    x = 8,066.26

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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.