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Finding the Fourth Proportional to 11,678.37, 17,510.83 and 7,985.08

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Solution

The fourth proportional to 11,678.37, 17,510.83 and 7,985.08 is: 11,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.37 : 17,510.83 = 7,985.08 : x
  2. Step 2: Convert to fraction form
    11,678.37/17,510.83 = 7,985.08/x
  3. Step 3: Cross multiply
    11,678.37x = 17,510.83 × 7,985.08
  4. Step 4: Simplify right side
    11,678.37x = 139,825,378.42
  5. Step 5: Solve for x
    x = 139,825,378.42/11,678.37
  6. Step 6: Final answer
    x = 11,973.02

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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.