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Finding the Fourth Proportional to 8,516.64, 12,802.31 and 7,907.93

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Solution

The fourth proportional to 8,516.64, 12,802.31 and 7,907.93 is: 11,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.64 : 12,802.31 = 7,907.93 : x
  2. Step 2: Convert to fraction form
    8,516.64/12,802.31 = 7,907.93/x
  3. Step 3: Cross multiply
    8,516.64x = 12,802.31 × 7,907.93
  4. Step 4: Simplify right side
    8,516.64x = 101,239,667.77
  5. Step 5: Solve for x
    x = 101,239,667.77/8,516.64
  6. Step 6: Final answer
    x = 11,887.28

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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.