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Finding the Fourth Proportional to 10,004.29, 13,805.21 and 5,528

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Solution

The fourth proportional to 10,004.29, 13,805.21 and 5,528 is: 7,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.29 : 13,805.21 = 5,528 : x
  2. Step 2: Convert to fraction form
    10,004.29/13,805.21 = 5,528/x
  3. Step 3: Cross multiply
    10,004.29x = 13,805.21 × 5,528
  4. Step 4: Simplify right side
    10,004.29x = 76,315,200.88
  5. Step 5: Solve for x
    x = 76,315,200.88/10,004.29
  6. Step 6: Final answer
    x = 7,628.25

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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.