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Finding the Fourth Proportional to 8,263.38, 12,386.86 and 4,567.35

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Solution

The fourth proportional to 8,263.38, 12,386.86 and 4,567.35 is: 6,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.38 : 12,386.86 = 4,567.35 : x
  2. Step 2: Convert to fraction form
    8,263.38/12,386.86 = 4,567.35/x
  3. Step 3: Cross multiply
    8,263.38x = 12,386.86 × 4,567.35
  4. Step 4: Simplify right side
    8,263.38x = 56,575,125.02
  5. Step 5: Solve for x
    x = 56,575,125.02/8,263.38
  6. Step 6: Final answer
    x = 6,846.49

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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.