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Finding the Fourth Proportional to 8,312.94, 11,470.17 and 5,289.26

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Solution

The fourth proportional to 8,312.94, 11,470.17 and 5,289.26 is: 7,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.94 : 11,470.17 = 5,289.26 : x
  2. Step 2: Convert to fraction form
    8,312.94/11,470.17 = 5,289.26/x
  3. Step 3: Cross multiply
    8,312.94x = 11,470.17 × 5,289.26
  4. Step 4: Simplify right side
    8,312.94x = 60,668,711.37
  5. Step 5: Solve for x
    x = 60,668,711.37/8,312.94
  6. Step 6: Final answer
    x = 7,298.11

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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.