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Finding the Fourth Proportional to 8,006.25, 11,048.93 and 4,470.14

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Solution

The fourth proportional to 8,006.25, 11,048.93 and 4,470.14 is: 6,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.25 : 11,048.93 = 4,470.14 : x
  2. Step 2: Convert to fraction form
    8,006.25/11,048.93 = 4,470.14/x
  3. Step 3: Cross multiply
    8,006.25x = 11,048.93 × 4,470.14
  4. Step 4: Simplify right side
    8,006.25x = 49,390,269.22
  5. Step 5: Solve for x
    x = 49,390,269.22/8,006.25
  6. Step 6: Final answer
    x = 6,168.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.