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Finding the Fourth Proportional to 10,828.88, 14,941.27 and 7,470.62

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Solution

The fourth proportional to 10,828.88, 14,941.27 and 7,470.62 is: 10,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.88 : 14,941.27 = 7,470.62 : x
  2. Step 2: Convert to fraction form
    10,828.88/14,941.27 = 7,470.62/x
  3. Step 3: Cross multiply
    10,828.88x = 14,941.27 × 7,470.62
  4. Step 4: Simplify right side
    10,828.88x = 111,620,550.49
  5. Step 5: Solve for x
    x = 111,620,550.49/10,828.88
  6. Step 6: Final answer
    x = 10,307.67

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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.