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Finding the Fourth Proportional to 10,393.76, 14,342.64 and 5,677.04

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Solution

The fourth proportional to 10,393.76, 14,342.64 and 5,677.04 is: 7,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.76 : 14,342.64 = 5,677.04 : x
  2. Step 2: Convert to fraction form
    10,393.76/14,342.64 = 5,677.04/x
  3. Step 3: Cross multiply
    10,393.76x = 14,342.64 × 5,677.04
  4. Step 4: Simplify right side
    10,393.76x = 81,423,740.99
  5. Step 5: Solve for x
    x = 81,423,740.99/10,393.76
  6. Step 6: Final answer
    x = 7,833.91

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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.