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Finding the Fourth Proportional to 10,074.57, 15,111.87 and 3,054.51

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Solution

The fourth proportional to 10,074.57, 15,111.87 and 3,054.51 is: 4,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.57 : 15,111.87 = 3,054.51 : x
  2. Step 2: Convert to fraction form
    10,074.57/15,111.87 = 3,054.51/x
  3. Step 3: Cross multiply
    10,074.57x = 15,111.87 × 3,054.51
  4. Step 4: Simplify right side
    10,074.57x = 46,159,358.03
  5. Step 5: Solve for x
    x = 46,159,358.03/10,074.57
  6. Step 6: Final answer
    x = 4,581.77

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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.