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Finding the Fourth Proportional to 8,308, 11,465.16 and 4,582

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Solution

The fourth proportional to 8,308, 11,465.16 and 4,582 is: 6,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308 : 11,465.16 = 4,582 : x
  2. Step 2: Convert to fraction form
    8,308/11,465.16 = 4,582/x
  3. Step 3: Cross multiply
    8,308x = 11,465.16 × 4,582
  4. Step 4: Simplify right side
    8,308x = 52,533,363.12
  5. Step 5: Solve for x
    x = 52,533,363.12/8,308
  6. Step 6: Final answer
    x = 6,323.23

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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.