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Finding the Fourth Proportional to 10,002.99, 13,804.40 and 5,527.03

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Solution

The fourth proportional to 10,002.99, 13,804.40 and 5,527.03 is: 7,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.99 : 13,804.40 = 5,527.03 : x
  2. Step 2: Convert to fraction form
    10,002.99/13,804.40 = 5,527.03/x
  3. Step 3: Cross multiply
    10,002.99x = 13,804.40 × 5,527.03
  4. Step 4: Simplify right side
    10,002.99x = 76,297,283.75
  5. Step 5: Solve for x
    x = 76,297,283.75/10,002.99
  6. Step 6: Final answer
    x = 7,627.45

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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.