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Finding the Fourth Proportional to 10,362.78, 14,304.95 and 7,845.62

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Solution

The fourth proportional to 10,362.78, 14,304.95 and 7,845.62 is: 10,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.78 : 14,304.95 = 7,845.62 : x
  2. Step 2: Convert to fraction form
    10,362.78/14,304.95 = 7,845.62/x
  3. Step 3: Cross multiply
    10,362.78x = 14,304.95 × 7,845.62
  4. Step 4: Simplify right side
    10,362.78x = 112,231,091.07
  5. Step 5: Solve for x
    x = 112,231,091.07/10,362.78
  6. Step 6: Final answer
    x = 10,830.21

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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.