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Finding the Fourth Proportional to 10,392.96, 14,342.19 and 5,677.26

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Solution

The fourth proportional to 10,392.96, 14,342.19 and 5,677.26 is: 7,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.96 : 14,342.19 = 5,677.26 : x
  2. Step 2: Convert to fraction form
    10,392.96/14,342.19 = 5,677.26/x
  3. Step 3: Cross multiply
    10,392.96x = 14,342.19 × 5,677.26
  4. Step 4: Simplify right side
    10,392.96x = 81,424,341.60
  5. Step 5: Solve for x
    x = 81,424,341.60/10,392.96
  6. Step 6: Final answer
    x = 7,834.57

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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.