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Finding the Fourth Proportional to 10,522.14, 14,518.86 and 6,045.24

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Solution

The fourth proportional to 10,522.14, 14,518.86 and 6,045.24 is: 8,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.14 : 14,518.86 = 6,045.24 : x
  2. Step 2: Convert to fraction form
    10,522.14/14,518.86 = 6,045.24/x
  3. Step 3: Cross multiply
    10,522.14x = 14,518.86 × 6,045.24
  4. Step 4: Simplify right side
    10,522.14x = 87,769,993.23
  5. Step 5: Solve for x
    x = 87,769,993.23/10,522.14
  6. Step 6: Final answer
    x = 8,341.46

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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.