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Finding the Fourth Proportional to 10,492.16, 14,479.24 and 5,776.44

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Solution

The fourth proportional to 10,492.16, 14,479.24 and 5,776.44 is: 7,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.16 : 14,479.24 = 5,776.44 : x
  2. Step 2: Convert to fraction form
    10,492.16/14,479.24 = 5,776.44/x
  3. Step 3: Cross multiply
    10,492.16x = 14,479.24 × 5,776.44
  4. Step 4: Simplify right side
    10,492.16x = 83,638,446.66
  5. Step 5: Solve for x
    x = 83,638,446.66/10,492.16
  6. Step 6: Final answer
    x = 7,971.52

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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.