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Finding the Fourth Proportional to 8,565.40, 12,836.10 and 6,813.40

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Solution

The fourth proportional to 8,565.40, 12,836.10 and 6,813.40 is: 10,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.40 : 12,836.10 = 6,813.40 : x
  2. Step 2: Convert to fraction form
    8,565.40/12,836.10 = 6,813.40/x
  3. Step 3: Cross multiply
    8,565.40x = 12,836.10 × 6,813.40
  4. Step 4: Simplify right side
    8,565.40x = 87,457,483.74
  5. Step 5: Solve for x
    x = 87,457,483.74/8,565.40
  6. Step 6: Final answer
    x = 10,210.55

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Why These Related Problems?

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