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Finding the Fourth Proportional to 10,423.91, 14,384.98 and 5,643.83

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Solution

The fourth proportional to 10,423.91, 14,384.98 and 5,643.83 is: 7,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.91 : 14,384.98 = 5,643.83 : x
  2. Step 2: Convert to fraction form
    10,423.91/14,384.98 = 5,643.83/x
  3. Step 3: Cross multiply
    10,423.91x = 14,384.98 × 5,643.83
  4. Step 4: Simplify right side
    10,423.91x = 81,186,424.69
  5. Step 5: Solve for x
    x = 81,186,424.69/10,423.91
  6. Step 6: Final answer
    x = 7,788.48

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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.