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Finding the Fourth Proportional to 8,681.61, 13,051.24 and 7,133.09

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Solution

The fourth proportional to 8,681.61, 13,051.24 and 7,133.09 is: 10,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.61 : 13,051.24 = 7,133.09 : x
  2. Step 2: Convert to fraction form
    8,681.61/13,051.24 = 7,133.09/x
  3. Step 3: Cross multiply
    8,681.61x = 13,051.24 × 7,133.09
  4. Step 4: Simplify right side
    8,681.61x = 93,095,633.87
  5. Step 5: Solve for x
    x = 93,095,633.87/8,681.61
  6. Step 6: Final answer
    x = 10,723.31

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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.