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Finding the Fourth Proportional to 10,842.14, 16,266.86 and 4,599.47

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Solution

The fourth proportional to 10,842.14, 16,266.86 and 4,599.47 is: 6,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.14 : 16,266.86 = 4,599.47 : x
  2. Step 2: Convert to fraction form
    10,842.14/16,266.86 = 4,599.47/x
  3. Step 3: Cross multiply
    10,842.14x = 16,266.86 × 4,599.47
  4. Step 4: Simplify right side
    10,842.14x = 74,818,830.23
  5. Step 5: Solve for x
    x = 74,818,830.23/10,842.14
  6. Step 6: Final answer
    x = 6,900.75

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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.