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Finding the Fourth Proportional to 10,559.66, 14,573.07 and 5,844.14

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Solution

The fourth proportional to 10,559.66, 14,573.07 and 5,844.14 is: 8,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.66 : 14,573.07 = 5,844.14 : x
  2. Step 2: Convert to fraction form
    10,559.66/14,573.07 = 5,844.14/x
  3. Step 3: Cross multiply
    10,559.66x = 14,573.07 × 5,844.14
  4. Step 4: Simplify right side
    10,559.66x = 85,167,061.31
  5. Step 5: Solve for x
    x = 85,167,061.31/10,559.66
  6. Step 6: Final answer
    x = 8,065.32

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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.