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Finding the Fourth Proportional to 10,352.64, 14,286.72 and 5,637

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Solution

The fourth proportional to 10,352.64, 14,286.72 and 5,637 is: 7,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.64 : 14,286.72 = 5,637 : x
  2. Step 2: Convert to fraction form
    10,352.64/14,286.72 = 5,637/x
  3. Step 3: Cross multiply
    10,352.64x = 14,286.72 × 5,637
  4. Step 4: Simplify right side
    10,352.64x = 80,534,240.64
  5. Step 5: Solve for x
    x = 80,534,240.64/10,352.64
  6. Step 6: Final answer
    x = 7,779.10

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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.