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Finding the Fourth Proportional to 10,357.41, 15,539.17 and 4,814.07

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Solution

The fourth proportional to 10,357.41, 15,539.17 and 4,814.07 is: 7,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.41 : 15,539.17 = 4,814.07 : x
  2. Step 2: Convert to fraction form
    10,357.41/15,539.17 = 4,814.07/x
  3. Step 3: Cross multiply
    10,357.41x = 15,539.17 × 4,814.07
  4. Step 4: Simplify right side
    10,357.41x = 74,806,652.12
  5. Step 5: Solve for x
    x = 74,806,652.12/10,357.41
  6. Step 6: Final answer
    x = 7,222.52

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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.