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Finding the Fourth Proportional to 13,307.04, 18,364.86 and 8,001

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Solution

The fourth proportional to 13,307.04, 18,364.86 and 8,001 is: 11,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.04 : 18,364.86 = 8,001 : x
  2. Step 2: Convert to fraction form
    13,307.04/18,364.86 = 8,001/x
  3. Step 3: Cross multiply
    13,307.04x = 18,364.86 × 8,001
  4. Step 4: Simplify right side
    13,307.04x = 146,937,244.86
  5. Step 5: Solve for x
    x = 146,937,244.86/13,307.04
  6. Step 6: Final answer
    x = 11,042.07

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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.