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Finding the Fourth Proportional to 10,698.29, 16,051.23 and 4,774.63

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Solution

The fourth proportional to 10,698.29, 16,051.23 and 4,774.63 is: 7,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.29 : 16,051.23 = 4,774.63 : x
  2. Step 2: Convert to fraction form
    10,698.29/16,051.23 = 4,774.63/x
  3. Step 3: Cross multiply
    10,698.29x = 16,051.23 × 4,774.63
  4. Step 4: Simplify right side
    10,698.29x = 76,638,684.29
  5. Step 5: Solve for x
    x = 76,638,684.29/10,698.29
  6. Step 6: Final answer
    x = 7,163.64

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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.