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Finding the Fourth Proportional to 10,319.54, 14,242.55 and 8,323.90

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Solution

The fourth proportional to 10,319.54, 14,242.55 and 8,323.90 is: 11,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.54 : 14,242.55 = 8,323.90 : x
  2. Step 2: Convert to fraction form
    10,319.54/14,242.55 = 8,323.90/x
  3. Step 3: Cross multiply
    10,319.54x = 14,242.55 × 8,323.90
  4. Step 4: Simplify right side
    10,319.54x = 118,553,538.13
  5. Step 5: Solve for x
    x = 118,553,538.13/10,319.54
  6. Step 6: Final answer
    x = 11,488.26

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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.