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Finding the Fourth Proportional to 10,544.68, 14,551.54 and 5,829.04

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Solution

The fourth proportional to 10,544.68, 14,551.54 and 5,829.04 is: 8,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.68 : 14,551.54 = 5,829.04 : x
  2. Step 2: Convert to fraction form
    10,544.68/14,551.54 = 5,829.04/x
  3. Step 3: Cross multiply
    10,544.68x = 14,551.54 × 5,829.04
  4. Step 4: Simplify right side
    10,544.68x = 84,821,508.72
  5. Step 5: Solve for x
    x = 84,821,508.72/10,544.68
  6. Step 6: Final answer
    x = 8,044.01

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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.