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Finding the Fourth Proportional to 10,693.94, 14,756.61 and 5,977.94

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Solution

The fourth proportional to 10,693.94, 14,756.61 and 5,977.94 is: 8,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.94 : 14,756.61 = 5,977.94 : x
  2. Step 2: Convert to fraction form
    10,693.94/14,756.61 = 5,977.94/x
  3. Step 3: Cross multiply
    10,693.94x = 14,756.61 × 5,977.94
  4. Step 4: Simplify right side
    10,693.94x = 88,214,129.18
  5. Step 5: Solve for x
    x = 88,214,129.18/10,693.94
  6. Step 6: Final answer
    x = 8,248.98

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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.