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Finding the Fourth Proportional to 10,394, 14,343.65 and 5,678.28

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Solution

The fourth proportional to 10,394, 14,343.65 and 5,678.28 is: 7,835.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394 : 14,343.65 = 5,678.28 : x
  2. Step 2: Convert to fraction form
    10,394/14,343.65 = 5,678.28/x
  3. Step 3: Cross multiply
    10,394x = 14,343.65 × 5,678.28
  4. Step 4: Simplify right side
    10,394x = 81,447,260.92
  5. Step 5: Solve for x
    x = 81,447,260.92/10,394
  6. Step 6: Final answer
    x = 7,835.99

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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.