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Finding the Fourth Proportional to 10,423.77, 14,384.81 and 5,643.69

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Solution

The fourth proportional to 10,423.77, 14,384.81 and 5,643.69 is: 7,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.77 : 14,384.81 = 5,643.69 : x
  2. Step 2: Convert to fraction form
    10,423.77/14,384.81 = 5,643.69/x
  3. Step 3: Cross multiply
    10,423.77x = 14,384.81 × 5,643.69
  4. Step 4: Simplify right side
    10,423.77x = 81,183,408.35
  5. Step 5: Solve for x
    x = 81,183,408.35/10,423.77
  6. Step 6: Final answer
    x = 7,788.30

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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.