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Finding the Fourth Proportional to 10,384.03, 14,330.01 and 5,668.35

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Solution

The fourth proportional to 10,384.03, 14,330.01 and 5,668.35 is: 7,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.03 : 14,330.01 = 5,668.35 : x
  2. Step 2: Convert to fraction form
    10,384.03/14,330.01 = 5,668.35/x
  3. Step 3: Cross multiply
    10,384.03x = 14,330.01 × 5,668.35
  4. Step 4: Simplify right side
    10,384.03x = 81,227,512.18
  5. Step 5: Solve for x
    x = 81,227,512.18/10,384.03
  6. Step 6: Final answer
    x = 7,822.35

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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.