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Finding the Fourth Proportional to 10,470.66, 15,705.99 and 3,898.50

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Solution

The fourth proportional to 10,470.66, 15,705.99 and 3,898.50 is: 5,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.66 : 15,705.99 = 3,898.50 : x
  2. Step 2: Convert to fraction form
    10,470.66/15,705.99 = 3,898.50/x
  3. Step 3: Cross multiply
    10,470.66x = 15,705.99 × 3,898.50
  4. Step 4: Simplify right side
    10,470.66x = 61,229,802.02
  5. Step 5: Solve for x
    x = 61,229,802.02/10,470.66
  6. Step 6: Final answer
    x = 5,847.75

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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.