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Finding the Fourth Proportional to 10,154.09, 14,011.99 and 5,678.21

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Solution

The fourth proportional to 10,154.09, 14,011.99 and 5,678.21 is: 7,835.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.09 : 14,011.99 = 5,678.21 : x
  2. Step 2: Convert to fraction form
    10,154.09/14,011.99 = 5,678.21/x
  3. Step 3: Cross multiply
    10,154.09x = 14,011.99 × 5,678.21
  4. Step 4: Simplify right side
    10,154.09x = 79,563,021.74
  5. Step 5: Solve for x
    x = 79,563,021.74/10,154.09
  6. Step 6: Final answer
    x = 7,835.56

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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.