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Finding the Fourth Proportional to 10,004.35, 13,805.63 and 5,528.00

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Solution

The fourth proportional to 10,004.35, 13,805.63 and 5,528.00 is: 7,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.35 : 13,805.63 = 5,528.00 : x
  2. Step 2: Convert to fraction form
    10,004.35/13,805.63 = 5,528.00/x
  3. Step 3: Cross multiply
    10,004.35x = 13,805.63 × 5,528.00
  4. Step 4: Simplify right side
    10,004.35x = 76,317,529.51
  5. Step 5: Solve for x
    x = 76,317,529.51/10,004.35
  6. Step 6: Final answer
    x = 7,628.44

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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.