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Finding the Fourth Proportional to 10,678.78, 16,011.54 and 4,443.16

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Solution

The fourth proportional to 10,678.78, 16,011.54 and 4,443.16 is: 6,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.78 : 16,011.54 = 4,443.16 : x
  2. Step 2: Convert to fraction form
    10,678.78/16,011.54 = 4,443.16/x
  3. Step 3: Cross multiply
    10,678.78x = 16,011.54 × 4,443.16
  4. Step 4: Simplify right side
    10,678.78x = 71,141,834.07
  5. Step 5: Solve for x
    x = 71,141,834.07/10,678.78
  6. Step 6: Final answer
    x = 6,661.98

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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.