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Finding the Fourth Proportional to 10,007.51, 15,012.89 and 3,082.01

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Solution

The fourth proportional to 10,007.51, 15,012.89 and 3,082.01 is: 4,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.51 : 15,012.89 = 3,082.01 : x
  2. Step 2: Convert to fraction form
    10,007.51/15,012.89 = 3,082.01/x
  3. Step 3: Cross multiply
    10,007.51x = 15,012.89 × 3,082.01
  4. Step 4: Simplify right side
    10,007.51x = 46,269,877.11
  5. Step 5: Solve for x
    x = 46,269,877.11/10,007.51
  6. Step 6: Final answer
    x = 4,623.52

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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.