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Finding the Fourth Proportional to 10,154.84, 14,013.60 and 5,678.60

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Solution

The fourth proportional to 10,154.84, 14,013.60 and 5,678.60 is: 7,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.84 : 14,013.60 = 5,678.60 : x
  2. Step 2: Convert to fraction form
    10,154.84/14,013.60 = 5,678.60/x
  3. Step 3: Cross multiply
    10,154.84x = 14,013.60 × 5,678.60
  4. Step 4: Simplify right side
    10,154.84x = 79,577,628.96
  5. Step 5: Solve for x
    x = 79,577,628.96/10,154.84
  6. Step 6: Final answer
    x = 7,836.42

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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.