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Finding the Fourth Proportional to 10,452.90, 14,443.70 and 7,774.94

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Solution

The fourth proportional to 10,452.90, 14,443.70 and 7,774.94 is: 10,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.90 : 14,443.70 = 7,774.94 : x
  2. Step 2: Convert to fraction form
    10,452.90/14,443.70 = 7,774.94/x
  3. Step 3: Cross multiply
    10,452.90x = 14,443.70 × 7,774.94
  4. Step 4: Simplify right side
    10,452.90x = 112,298,900.88
  5. Step 5: Solve for x
    x = 112,298,900.88/10,452.90
  6. Step 6: Final answer
    x = 10,743.32

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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.