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Finding the Fourth Proportional to 8,316, 11,475.92 and 4,539.15

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Solution

The fourth proportional to 8,316, 11,475.92 and 4,539.15 is: 6,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316 : 11,475.92 = 4,539.15 : x
  2. Step 2: Convert to fraction form
    8,316/11,475.92 = 4,539.15/x
  3. Step 3: Cross multiply
    8,316x = 11,475.92 × 4,539.15
  4. Step 4: Simplify right side
    8,316x = 52,090,933.62
  5. Step 5: Solve for x
    x = 52,090,933.62/8,316
  6. Step 6: Final answer
    x = 6,263.94

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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.