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Finding the Fourth Proportional to 10,004, 15,005.28 and 4,159.04

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Solution

The fourth proportional to 10,004, 15,005.28 and 4,159.04 is: 6,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004 : 15,005.28 = 4,159.04 : x
  2. Step 2: Convert to fraction form
    10,004/15,005.28 = 4,159.04/x
  3. Step 3: Cross multiply
    10,004x = 15,005.28 × 4,159.04
  4. Step 4: Simplify right side
    10,004x = 62,407,559.73
  5. Step 5: Solve for x
    x = 62,407,559.73/10,004
  6. Step 6: Final answer
    x = 6,238.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.