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Finding the Fourth Proportional to 10,341.78, 14,271.78 and 5,626.08

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Solution

The fourth proportional to 10,341.78, 14,271.78 and 5,626.08 is: 7,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.78 : 14,271.78 = 5,626.08 : x
  2. Step 2: Convert to fraction form
    10,341.78/14,271.78 = 5,626.08/x
  3. Step 3: Cross multiply
    10,341.78x = 14,271.78 × 5,626.08
  4. Step 4: Simplify right side
    10,341.78x = 80,294,176.02
  5. Step 5: Solve for x
    x = 80,294,176.02/10,341.78
  6. Step 6: Final answer
    x = 7,764.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.