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Finding the Fourth Proportional to 10,551.06, 14,560.56 and 5,835.42

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Solution

The fourth proportional to 10,551.06, 14,560.56 and 5,835.42 is: 8,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,551.06 : 14,560.56 = 5,835.42 : x
  2. Step 2: Convert to fraction form
    10,551.06/14,560.56 = 5,835.42/x
  3. Step 3: Cross multiply
    10,551.06x = 14,560.56 × 5,835.42
  4. Step 4: Simplify right side
    10,551.06x = 84,966,983.04
  5. Step 5: Solve for x
    x = 84,966,983.04/10,551.06
  6. Step 6: Final answer
    x = 8,052.93

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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.