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Finding the Fourth Proportional to 10,002.01, 15,005.24 and 3,762.07

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Solution

The fourth proportional to 10,002.01, 15,005.24 and 3,762.07 is: 5,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.01 : 15,005.24 = 3,762.07 : x
  2. Step 2: Convert to fraction form
    10,002.01/15,005.24 = 3,762.07/x
  3. Step 3: Cross multiply
    10,002.01x = 15,005.24 × 3,762.07
  4. Step 4: Simplify right side
    10,002.01x = 56,450,810.17
  5. Step 5: Solve for x
    x = 56,450,810.17/10,002.01
  6. Step 6: Final answer
    x = 5,643.95

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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.