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Finding the Fourth Proportional to 10,492.56, 14,479.56 and 5,777.28

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Solution

The fourth proportional to 10,492.56, 14,479.56 and 5,777.28 is: 7,972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.56 : 14,479.56 = 5,777.28 : x
  2. Step 2: Convert to fraction form
    10,492.56/14,479.56 = 5,777.28/x
  3. Step 3: Cross multiply
    10,492.56x = 14,479.56 × 5,777.28
  4. Step 4: Simplify right side
    10,492.56x = 83,652,472.40
  5. Step 5: Solve for x
    x = 83,652,472.40/10,492.56
  6. Step 6: Final answer
    x = 7,972.55

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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.