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Finding the Fourth Proportional to 10,223.88, 14,115.95 and 7,829.63

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Solution

The fourth proportional to 10,223.88, 14,115.95 and 7,829.63 is: 10,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.88 : 14,115.95 = 7,829.63 : x
  2. Step 2: Convert to fraction form
    10,223.88/14,115.95 = 7,829.63/x
  3. Step 3: Cross multiply
    10,223.88x = 14,115.95 × 7,829.63
  4. Step 4: Simplify right side
    10,223.88x = 110,522,701.66
  5. Step 5: Solve for x
    x = 110,522,701.66/10,223.88
  6. Step 6: Final answer
    x = 10,810.25

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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.