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Finding the Fourth Proportional to 10,025.64, 13,835.00 and 5,549.58

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Solution

The fourth proportional to 10,025.64, 13,835.00 and 5,549.58 is: 7,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.64 : 13,835.00 = 5,549.58 : x
  2. Step 2: Convert to fraction form
    10,025.64/13,835.00 = 5,549.58/x
  3. Step 3: Cross multiply
    10,025.64x = 13,835.00 × 5,549.58
  4. Step 4: Simplify right side
    10,025.64x = 76,778,453.17
  5. Step 5: Solve for x
    x = 76,778,453.17/10,025.64
  6. Step 6: Final answer
    x = 7,658.21

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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.