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Finding the Fourth Proportional to 10,343.42, 15,511.01 and 5,417.20

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Solution

The fourth proportional to 10,343.42, 15,511.01 and 5,417.20 is: 8,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.42 : 15,511.01 = 5,417.20 : x
  2. Step 2: Convert to fraction form
    10,343.42/15,511.01 = 5,417.20/x
  3. Step 3: Cross multiply
    10,343.42x = 15,511.01 × 5,417.20
  4. Step 4: Simplify right side
    10,343.42x = 84,026,243.37
  5. Step 5: Solve for x
    x = 84,026,243.37/10,343.42
  6. Step 6: Final answer
    x = 8,123.64

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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.