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Finding the Fourth Proportional to 10,002.83, 13,803.82 and 5,526.87

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Solution

The fourth proportional to 10,002.83, 13,803.82 and 5,526.87 is: 7,627.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.83 : 13,803.82 = 5,526.87 : x
  2. Step 2: Convert to fraction form
    10,002.83/13,803.82 = 5,526.87/x
  3. Step 3: Cross multiply
    10,002.83x = 13,803.82 × 5,526.87
  4. Step 4: Simplify right side
    10,002.83x = 76,291,853.06
  5. Step 5: Solve for x
    x = 76,291,853.06/10,002.83
  6. Step 6: Final answer
    x = 7,627.03

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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.