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Finding the Fourth Proportional to 11,403.38, 15,730.80 and 6,684.50

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Solution

The fourth proportional to 11,403.38, 15,730.80 and 6,684.50 is: 9,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.38 : 15,730.80 = 6,684.50 : x
  2. Step 2: Convert to fraction form
    11,403.38/15,730.80 = 6,684.50/x
  3. Step 3: Cross multiply
    11,403.38x = 15,730.80 × 6,684.50
  4. Step 4: Simplify right side
    11,403.38x = 105,152,532.60
  5. Step 5: Solve for x
    x = 105,152,532.60/11,403.38
  6. Step 6: Final answer
    x = 9,221.17

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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.