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Finding the Fourth Proportional to 7,722.93, 11,574.23 and 4,214.46

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Solution

The fourth proportional to 7,722.93, 11,574.23 and 4,214.46 is: 6,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.93 : 11,574.23 = 4,214.46 : x
  2. Step 2: Convert to fraction form
    7,722.93/11,574.23 = 4,214.46/x
  3. Step 3: Cross multiply
    7,722.93x = 11,574.23 × 4,214.46
  4. Step 4: Simplify right side
    7,722.93x = 48,779,108.29
  5. Step 5: Solve for x
    x = 48,779,108.29/7,722.93
  6. Step 6: Final answer
    x = 6,316.14

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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.