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Finding the Fourth Proportional to 10,602.36, 15,920.28 and 6,913.44

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Solution

The fourth proportional to 10,602.36, 15,920.28 and 6,913.44 is: 10,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.36 : 15,920.28 = 6,913.44 : x
  2. Step 2: Convert to fraction form
    10,602.36/15,920.28 = 6,913.44/x
  3. Step 3: Cross multiply
    10,602.36x = 15,920.28 × 6,913.44
  4. Step 4: Simplify right side
    10,602.36x = 110,063,900.56
  5. Step 5: Solve for x
    x = 110,063,900.56/10,602.36
  6. Step 6: Final answer
    x = 10,381.08

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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.