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Finding the Fourth Proportional to 10,505.57, 14,503.61 and 6,973.61

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Solution

The fourth proportional to 10,505.57, 14,503.61 and 6,973.61 is: 9,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.57 : 14,503.61 = 6,973.61 : x
  2. Step 2: Convert to fraction form
    10,505.57/14,503.61 = 6,973.61/x
  3. Step 3: Cross multiply
    10,505.57x = 14,503.61 × 6,973.61
  4. Step 4: Simplify right side
    10,505.57x = 101,142,464.65
  5. Step 5: Solve for x
    x = 101,142,464.65/10,505.57
  6. Step 6: Final answer
    x = 9,627.51

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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.