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Finding the Fourth Proportional to 10,482.92, 14,466.48 and 6,006.86

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Solution

The fourth proportional to 10,482.92, 14,466.48 and 6,006.86 is: 8,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.92 : 14,466.48 = 6,006.86 : x
  2. Step 2: Convert to fraction form
    10,482.92/14,466.48 = 6,006.86/x
  3. Step 3: Cross multiply
    10,482.92x = 14,466.48 × 6,006.86
  4. Step 4: Simplify right side
    10,482.92x = 86,898,047.72
  5. Step 5: Solve for x
    x = 86,898,047.72/10,482.92
  6. Step 6: Final answer
    x = 8,289.49

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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.