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Finding the Fourth Proportional to 10,492.64, 14,479.36 and 5,776.84

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Solution

The fourth proportional to 10,492.64, 14,479.36 and 5,776.84 is: 7,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.64 : 14,479.36 = 5,776.84 : x
  2. Step 2: Convert to fraction form
    10,492.64/14,479.36 = 5,776.84/x
  3. Step 3: Cross multiply
    10,492.64x = 14,479.36 × 5,776.84
  4. Step 4: Simplify right side
    10,492.64x = 83,644,946.02
  5. Step 5: Solve for x
    x = 83,644,946.02/10,492.64
  6. Step 6: Final answer
    x = 7,971.77

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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.