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Finding the Fourth Proportional to 10,394.08, 14,355.72 and 7,574.10

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Solution

The fourth proportional to 10,394.08, 14,355.72 and 7,574.10 is: 10,460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.08 : 14,355.72 = 7,574.10 : x
  2. Step 2: Convert to fraction form
    10,394.08/14,355.72 = 7,574.10/x
  3. Step 3: Cross multiply
    10,394.08x = 14,355.72 × 7,574.10
  4. Step 4: Simplify right side
    10,394.08x = 108,731,658.85
  5. Step 5: Solve for x
    x = 108,731,658.85/10,394.08
  6. Step 6: Final answer
    x = 10,460.92

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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.