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Finding the Fourth Proportional to 8,511.93, 12,746.01 and 5,215.02

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Solution

The fourth proportional to 8,511.93, 12,746.01 and 5,215.02 is: 7,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.93 : 12,746.01 = 5,215.02 : x
  2. Step 2: Convert to fraction form
    8,511.93/12,746.01 = 5,215.02/x
  3. Step 3: Cross multiply
    8,511.93x = 12,746.01 × 5,215.02
  4. Step 4: Simplify right side
    8,511.93x = 66,470,697.07
  5. Step 5: Solve for x
    x = 66,470,697.07/8,511.93
  6. Step 6: Final answer
    x = 7,809.12

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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.