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Finding the Fourth Proportional to 10,384.72, 14,330.98 and 5,669.12

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Solution

The fourth proportional to 10,384.72, 14,330.98 and 5,669.12 is: 7,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.72 : 14,330.98 = 5,669.12 : x
  2. Step 2: Convert to fraction form
    10,384.72/14,330.98 = 5,669.12/x
  3. Step 3: Cross multiply
    10,384.72x = 14,330.98 × 5,669.12
  4. Step 4: Simplify right side
    10,384.72x = 81,244,045.34
  5. Step 5: Solve for x
    x = 81,244,045.34/10,384.72
  6. Step 6: Final answer
    x = 7,823.42

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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.