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Finding the Fourth Proportional to 8,690.52, 13,037.70 and 4,071

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Solution

The fourth proportional to 8,690.52, 13,037.70 and 4,071 is: 6,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.52 : 13,037.70 = 4,071 : x
  2. Step 2: Convert to fraction form
    8,690.52/13,037.70 = 4,071/x
  3. Step 3: Cross multiply
    8,690.52x = 13,037.70 × 4,071
  4. Step 4: Simplify right side
    8,690.52x = 53,076,476.70
  5. Step 5: Solve for x
    x = 53,076,476.70/8,690.52
  6. Step 6: Final answer
    x = 6,107.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.