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Finding the Fourth Proportional to 8,335.76, 11,483.82 and 5,813.30

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Solution

The fourth proportional to 8,335.76, 11,483.82 and 5,813.30 is: 8,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.76 : 11,483.82 = 5,813.30 : x
  2. Step 2: Convert to fraction form
    8,335.76/11,483.82 = 5,813.30/x
  3. Step 3: Cross multiply
    8,335.76x = 11,483.82 × 5,813.30
  4. Step 4: Simplify right side
    8,335.76x = 66,758,890.81
  5. Step 5: Solve for x
    x = 66,758,890.81/8,335.76
  6. Step 6: Final answer
    x = 8,008.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.