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Finding the Fourth Proportional to 10,492.06, 14,479.14 and 5,776.42

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Solution

The fourth proportional to 10,492.06, 14,479.14 and 5,776.42 is: 7,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.06 : 14,479.14 = 5,776.42 : x
  2. Step 2: Convert to fraction form
    10,492.06/14,479.14 = 5,776.42/x
  3. Step 3: Cross multiply
    10,492.06x = 14,479.14 × 5,776.42
  4. Step 4: Simplify right side
    10,492.06x = 83,637,593.88
  5. Step 5: Solve for x
    x = 83,637,593.88/10,492.06
  6. Step 6: Final answer
    x = 7,971.51

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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.