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Finding the Fourth Proportional to 10,783.96, 14,884.68 and 6,595.72

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Solution

The fourth proportional to 10,783.96, 14,884.68 and 6,595.72 is: 9,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.96 : 14,884.68 = 6,595.72 : x
  2. Step 2: Convert to fraction form
    10,783.96/14,884.68 = 6,595.72/x
  3. Step 3: Cross multiply
    10,783.96x = 14,884.68 × 6,595.72
  4. Step 4: Simplify right side
    10,783.96x = 98,175,181.57
  5. Step 5: Solve for x
    x = 98,175,181.57/10,783.96
  6. Step 6: Final answer
    x = 9,103.82

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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.