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Finding the Fourth Proportional to 10,164.84, 15,244.74 and 6,898.20

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Solution

The fourth proportional to 10,164.84, 15,244.74 and 6,898.20 is: 10,345.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.84 : 15,244.74 = 6,898.20 : x
  2. Step 2: Convert to fraction form
    10,164.84/15,244.74 = 6,898.20/x
  3. Step 3: Cross multiply
    10,164.84x = 15,244.74 × 6,898.20
  4. Step 4: Simplify right side
    10,164.84x = 105,161,265.47
  5. Step 5: Solve for x
    x = 105,161,265.47/10,164.84
  6. Step 6: Final answer
    x = 10,345.59

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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.