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Finding the Fourth Proportional to 10,002.86, 13,803.72 and 5,526.62

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Solution

The fourth proportional to 10,002.86, 13,803.72 and 5,526.62 is: 7,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.86 : 13,803.72 = 5,526.62 : x
  2. Step 2: Convert to fraction form
    10,002.86/13,803.72 = 5,526.62/x
  3. Step 3: Cross multiply
    10,002.86x = 13,803.72 × 5,526.62
  4. Step 4: Simplify right side
    10,002.86x = 76,287,915.03
  5. Step 5: Solve for x
    x = 76,287,915.03/10,002.86
  6. Step 6: Final answer
    x = 7,626.61

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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.