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Finding the Fourth Proportional to 10,689.94, 14,752.58 and 6,090.86

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Solution

The fourth proportional to 10,689.94, 14,752.58 and 6,090.86 is: 8,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.94 : 14,752.58 = 6,090.86 : x
  2. Step 2: Convert to fraction form
    10,689.94/14,752.58 = 6,090.86/x
  3. Step 3: Cross multiply
    10,689.94x = 14,752.58 × 6,090.86
  4. Step 4: Simplify right side
    10,689.94x = 89,855,905.85
  5. Step 5: Solve for x
    x = 89,855,905.85/10,689.94
  6. Step 6: Final answer
    x = 8,405.65

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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.