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Finding the Fourth Proportional to 10,412.68, 15,628.26 and 4,869.04

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Solution

The fourth proportional to 10,412.68, 15,628.26 and 4,869.04 is: 7,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.68 : 15,628.26 = 4,869.04 : x
  2. Step 2: Convert to fraction form
    10,412.68/15,628.26 = 4,869.04/x
  3. Step 3: Cross multiply
    10,412.68x = 15,628.26 × 4,869.04
  4. Step 4: Simplify right side
    10,412.68x = 76,094,623.07
  5. Step 5: Solve for x
    x = 76,094,623.07/10,412.68
  6. Step 6: Final answer
    x = 7,307.88

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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.