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Finding the Fourth Proportional to 10,394.34, 14,343.54 and 5,677.68

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Solution

The fourth proportional to 10,394.34, 14,343.54 and 5,677.68 is: 7,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.34 : 14,343.54 = 5,677.68 : x
  2. Step 2: Convert to fraction form
    10,394.34/14,343.54 = 5,677.68/x
  3. Step 3: Cross multiply
    10,394.34x = 14,343.54 × 5,677.68
  4. Step 4: Simplify right side
    10,394.34x = 81,438,030.19
  5. Step 5: Solve for x
    x = 81,438,030.19/10,394.34
  6. Step 6: Final answer
    x = 7,834.84

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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.