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Finding the Fourth Proportional to 10,483.59, 15,732.69 and 6,776.64

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Solution

The fourth proportional to 10,483.59, 15,732.69 and 6,776.64 is: 10,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.59 : 15,732.69 = 6,776.64 : x
  2. Step 2: Convert to fraction form
    10,483.59/15,732.69 = 6,776.64/x
  3. Step 3: Cross multiply
    10,483.59x = 15,732.69 × 6,776.64
  4. Step 4: Simplify right side
    10,483.59x = 106,614,776.36
  5. Step 5: Solve for x
    x = 106,614,776.36/10,483.59
  6. Step 6: Final answer
    x = 10,169.68

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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.