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Finding the Fourth Proportional to 10,492.75, 14,479.68 and 5,712.78

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Solution

The fourth proportional to 10,492.75, 14,479.68 and 5,712.78 is: 7,883.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.75 : 14,479.68 = 5,712.78 : x
  2. Step 2: Convert to fraction form
    10,492.75/14,479.68 = 5,712.78/x
  3. Step 3: Cross multiply
    10,492.75x = 14,479.68 × 5,712.78
  4. Step 4: Simplify right side
    10,492.75x = 82,719,302.03
  5. Step 5: Solve for x
    x = 82,719,302.03/10,492.75
  6. Step 6: Final answer
    x = 7,883.48

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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.