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Finding the Fourth Proportional to 10,266.29, 15,400.08 and 4,342.07

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Solution

The fourth proportional to 10,266.29, 15,400.08 and 4,342.07 is: 6,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.29 : 15,400.08 = 4,342.07 : x
  2. Step 2: Convert to fraction form
    10,266.29/15,400.08 = 4,342.07/x
  3. Step 3: Cross multiply
    10,266.29x = 15,400.08 × 4,342.07
  4. Step 4: Simplify right side
    10,266.29x = 66,868,148.37
  5. Step 5: Solve for x
    x = 66,868,148.37/10,266.29
  6. Step 6: Final answer
    x = 6,513.37

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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.