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Finding the Fourth Proportional to 10,842.63, 16,263.57 and 4,598.63

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Solution

The fourth proportional to 10,842.63, 16,263.57 and 4,598.63 is: 6,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.63 : 16,263.57 = 4,598.63 : x
  2. Step 2: Convert to fraction form
    10,842.63/16,263.57 = 4,598.63/x
  3. Step 3: Cross multiply
    10,842.63x = 16,263.57 × 4,598.63
  4. Step 4: Simplify right side
    10,842.63x = 74,790,059.59
  5. Step 5: Solve for x
    x = 74,790,059.59/10,842.63
  6. Step 6: Final answer
    x = 6,897.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.