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Finding the Fourth Proportional to 10,154.14, 14,013.02 and 5,678.08

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Solution

The fourth proportional to 10,154.14, 14,013.02 and 5,678.08 is: 7,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.14 : 14,013.02 = 5,678.08 : x
  2. Step 2: Convert to fraction form
    10,154.14/14,013.02 = 5,678.08/x
  3. Step 3: Cross multiply
    10,154.14x = 14,013.02 × 5,678.08
  4. Step 4: Simplify right side
    10,154.14x = 79,567,048.60
  5. Step 5: Solve for x
    x = 79,567,048.60/10,154.14
  6. Step 6: Final answer
    x = 7,835.92

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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.