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Finding the Fourth Proportional to 10,452.55, 14,431.27 and 6,477.88

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Solution

The fourth proportional to 10,452.55, 14,431.27 and 6,477.88 is: 8,943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.55 : 14,431.27 = 6,477.88 : x
  2. Step 2: Convert to fraction form
    10,452.55/14,431.27 = 6,477.88/x
  3. Step 3: Cross multiply
    10,452.55x = 14,431.27 × 6,477.88
  4. Step 4: Simplify right side
    10,452.55x = 93,483,963.15
  5. Step 5: Solve for x
    x = 93,483,963.15/10,452.55
  6. Step 6: Final answer
    x = 8,943.66

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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.