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Finding the Fourth Proportional to 10,492.66, 14,479.35 and 5,776.84

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Solution

The fourth proportional to 10,492.66, 14,479.35 and 5,776.84 is: 7,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.66 : 14,479.35 = 5,776.84 : x
  2. Step 2: Convert to fraction form
    10,492.66/14,479.35 = 5,776.84/x
  3. Step 3: Cross multiply
    10,492.66x = 14,479.35 × 5,776.84
  4. Step 4: Simplify right side
    10,492.66x = 83,644,888.25
  5. Step 5: Solve for x
    x = 83,644,888.25/10,492.66
  6. Step 6: Final answer
    x = 7,971.75

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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.