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Finding the Fourth Proportional to 10,154.42, 14,013.41 and 5,678.36

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Solution

The fourth proportional to 10,154.42, 14,013.41 and 5,678.36 is: 7,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.42 : 14,013.41 = 5,678.36 : x
  2. Step 2: Convert to fraction form
    10,154.42/14,013.41 = 5,678.36/x
  3. Step 3: Cross multiply
    10,154.42x = 14,013.41 × 5,678.36
  4. Step 4: Simplify right side
    10,154.42x = 79,573,186.81
  5. Step 5: Solve for x
    x = 79,573,186.81/10,154.42
  6. Step 6: Final answer
    x = 7,836.31

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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.