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Finding the Fourth Proportional to 10,314.98, 15,474.61 and 4,689.97

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Solution

The fourth proportional to 10,314.98, 15,474.61 and 4,689.97 is: 7,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.98 : 15,474.61 = 4,689.97 : x
  2. Step 2: Convert to fraction form
    10,314.98/15,474.61 = 4,689.97/x
  3. Step 3: Cross multiply
    10,314.98x = 15,474.61 × 4,689.97
  4. Step 4: Simplify right side
    10,314.98x = 72,575,423.84
  5. Step 5: Solve for x
    x = 72,575,423.84/10,314.98
  6. Step 6: Final answer
    x = 7,035.93

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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.