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Finding the Fourth Proportional to 10,967.30, 15,125.32 and 7,774.28

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Solution

The fourth proportional to 10,967.30, 15,125.32 and 7,774.28 is: 10,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.30 : 15,125.32 = 7,774.28 : x
  2. Step 2: Convert to fraction form
    10,967.30/15,125.32 = 7,774.28/x
  3. Step 3: Cross multiply
    10,967.30x = 15,125.32 × 7,774.28
  4. Step 4: Simplify right side
    10,967.30x = 117,588,472.77
  5. Step 5: Solve for x
    x = 117,588,472.77/10,967.30
  6. Step 6: Final answer
    x = 10,721.73

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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.