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Finding the Fourth Proportional to 10,852.83, 14,989.14 and 7,309.89

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Solution

The fourth proportional to 10,852.83, 14,989.14 and 7,309.89 is: 10,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.83 : 14,989.14 = 7,309.89 : x
  2. Step 2: Convert to fraction form
    10,852.83/14,989.14 = 7,309.89/x
  3. Step 3: Cross multiply
    10,852.83x = 14,989.14 × 7,309.89
  4. Step 4: Simplify right side
    10,852.83x = 109,568,964.59
  5. Step 5: Solve for x
    x = 109,568,964.59/10,852.83
  6. Step 6: Final answer
    x = 10,095.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.