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Finding the Fourth Proportional to 10,699.64, 16,051.17 and 3,678.92

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Solution

The fourth proportional to 10,699.64, 16,051.17 and 3,678.92 is: 5,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.64 : 16,051.17 = 3,678.92 : x
  2. Step 2: Convert to fraction form
    10,699.64/16,051.17 = 3,678.92/x
  3. Step 3: Cross multiply
    10,699.64x = 16,051.17 × 3,678.92
  4. Step 4: Simplify right side
    10,699.64x = 59,050,970.34
  5. Step 5: Solve for x
    x = 59,050,970.34/10,699.64
  6. Step 6: Final answer
    x = 5,518.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.