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Finding the Fourth Proportional to 12,535.08, 18,802.64 and 5,138.16

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Solution

The fourth proportional to 12,535.08, 18,802.64 and 5,138.16 is: 7,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.08 : 18,802.64 = 5,138.16 : x
  2. Step 2: Convert to fraction form
    12,535.08/18,802.64 = 5,138.16/x
  3. Step 3: Cross multiply
    12,535.08x = 18,802.64 × 5,138.16
  4. Step 4: Simplify right side
    12,535.08x = 96,610,972.74
  5. Step 5: Solve for x
    x = 96,610,972.74/12,535.08
  6. Step 6: Final answer
    x = 7,707.25

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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.