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Finding the Fourth Proportional to 10,544.84, 14,552.70 and 5,829.56

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Solution

The fourth proportional to 10,544.84, 14,552.70 and 5,829.56 is: 8,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.84 : 14,552.70 = 5,829.56 : x
  2. Step 2: Convert to fraction form
    10,544.84/14,552.70 = 5,829.56/x
  3. Step 3: Cross multiply
    10,544.84x = 14,552.70 × 5,829.56
  4. Step 4: Simplify right side
    10,544.84x = 84,835,837.81
  5. Step 5: Solve for x
    x = 84,835,837.81/10,544.84
  6. Step 6: Final answer
    x = 8,045.25

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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.