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Finding the Fourth Proportional to 10,492.67, 14,479.34 and 5,776.04

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Solution

The fourth proportional to 10,492.67, 14,479.34 and 5,776.04 is: 7,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.67 : 14,479.34 = 5,776.04 : x
  2. Step 2: Convert to fraction form
    10,492.67/14,479.34 = 5,776.04/x
  3. Step 3: Cross multiply
    10,492.67x = 14,479.34 × 5,776.04
  4. Step 4: Simplify right side
    10,492.67x = 83,633,218.13
  5. Step 5: Solve for x
    x = 83,633,218.13/10,492.67
  6. Step 6: Final answer
    x = 7,970.63

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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.