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Finding the Fourth Proportional to 10,393.22, 14,341.98 and 5,677.50

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Solution

The fourth proportional to 10,393.22, 14,341.98 and 5,677.50 is: 7,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.22 : 14,341.98 = 5,677.50 : x
  2. Step 2: Convert to fraction form
    10,393.22/14,341.98 = 5,677.50/x
  3. Step 3: Cross multiply
    10,393.22x = 14,341.98 × 5,677.50
  4. Step 4: Simplify right side
    10,393.22x = 81,426,563.06
  5. Step 5: Solve for x
    x = 81,426,563.06/10,393.22
  6. Step 6: Final answer
    x = 7,834.59

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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.