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Finding the Fourth Proportional to 12,900.52, 17,802.72 and 7,311.52

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Solution

The fourth proportional to 12,900.52, 17,802.72 and 7,311.52 is: 10,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.52 : 17,802.72 = 7,311.52 : x
  2. Step 2: Convert to fraction form
    12,900.52/17,802.72 = 7,311.52/x
  3. Step 3: Cross multiply
    12,900.52x = 17,802.72 × 7,311.52
  4. Step 4: Simplify right side
    12,900.52x = 130,164,943.33
  5. Step 5: Solve for x
    x = 130,164,943.33/12,900.52
  6. Step 6: Final answer
    x = 10,089.90

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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.