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Finding the Fourth Proportional to 10,450.61, 14,421.26 and 5,734.52

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Solution

The fourth proportional to 10,450.61, 14,421.26 and 5,734.52 is: 7,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.61 : 14,421.26 = 5,734.52 : x
  2. Step 2: Convert to fraction form
    10,450.61/14,421.26 = 5,734.52/x
  3. Step 3: Cross multiply
    10,450.61x = 14,421.26 × 5,734.52
  4. Step 4: Simplify right side
    10,450.61x = 82,698,946.13
  5. Step 5: Solve for x
    x = 82,698,946.13/10,450.61
  6. Step 6: Final answer
    x = 7,913.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.