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Finding the Fourth Proportional to 10,678.56, 16,017.84 and 7,775.34

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Solution

The fourth proportional to 10,678.56, 16,017.84 and 7,775.34 is: 11,663.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.56 : 16,017.84 = 7,775.34 : x
  2. Step 2: Convert to fraction form
    10,678.56/16,017.84 = 7,775.34/x
  3. Step 3: Cross multiply
    10,678.56x = 16,017.84 × 7,775.34
  4. Step 4: Simplify right side
    10,678.56x = 124,544,152.07
  5. Step 5: Solve for x
    x = 124,544,152.07/10,678.56
  6. Step 6: Final answer
    x = 11,663.01

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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.