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Finding the Fourth Proportional to 10,900.17, 16,345.94 and 7,029.45

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Solution

The fourth proportional to 10,900.17, 16,345.94 and 7,029.45 is: 10,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.17 : 16,345.94 = 7,029.45 : x
  2. Step 2: Convert to fraction form
    10,900.17/16,345.94 = 7,029.45/x
  3. Step 3: Cross multiply
    10,900.17x = 16,345.94 × 7,029.45
  4. Step 4: Simplify right side
    10,900.17x = 114,902,932.79
  5. Step 5: Solve for x
    x = 114,902,932.79/10,900.17
  6. Step 6: Final answer
    x = 10,541.39

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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.