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Finding the Fourth Proportional to 12,860.10, 17,743.32 and 7,552.98

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Solution

The fourth proportional to 12,860.10, 17,743.32 and 7,552.98 is: 10,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.10 : 17,743.32 = 7,552.98 : x
  2. Step 2: Convert to fraction form
    12,860.10/17,743.32 = 7,552.98/x
  3. Step 3: Cross multiply
    12,860.10x = 17,743.32 × 7,552.98
  4. Step 4: Simplify right side
    12,860.10x = 134,014,941.09
  5. Step 5: Solve for x
    x = 134,014,941.09/12,860.10
  6. Step 6: Final answer
    x = 10,420.99

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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.