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Finding the Fourth Proportional to 10,933.78, 15,089.32 and 6,456.32

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Solution

The fourth proportional to 10,933.78, 15,089.32 and 6,456.32 is: 8,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.78 : 15,089.32 = 6,456.32 : x
  2. Step 2: Convert to fraction form
    10,933.78/15,089.32 = 6,456.32/x
  3. Step 3: Cross multiply
    10,933.78x = 15,089.32 × 6,456.32
  4. Step 4: Simplify right side
    10,933.78x = 97,421,478.50
  5. Step 5: Solve for x
    x = 97,421,478.50/10,933.78
  6. Step 6: Final answer
    x = 8,910.14

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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.