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Finding the Fourth Proportional to 10,180.68, 14,042.08 and 8,292.32

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Solution

The fourth proportional to 10,180.68, 14,042.08 and 8,292.32 is: 11,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.68 : 14,042.08 = 8,292.32 : x
  2. Step 2: Convert to fraction form
    10,180.68/14,042.08 = 8,292.32/x
  3. Step 3: Cross multiply
    10,180.68x = 14,042.08 × 8,292.32
  4. Step 4: Simplify right side
    10,180.68x = 116,441,420.83
  5. Step 5: Solve for x
    x = 116,441,420.83/10,180.68
  6. Step 6: Final answer
    x = 11,437.49

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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.