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Finding the Fourth Proportional to 11,952.84, 16,492.96 and 6,647.52

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Solution

The fourth proportional to 11,952.84, 16,492.96 and 6,647.52 is: 9,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.84 : 16,492.96 = 6,647.52 : x
  2. Step 2: Convert to fraction form
    11,952.84/16,492.96 = 6,647.52/x
  3. Step 3: Cross multiply
    11,952.84x = 16,492.96 × 6,647.52
  4. Step 4: Simplify right side
    11,952.84x = 109,637,281.46
  5. Step 5: Solve for x
    x = 109,637,281.46/11,952.84
  6. Step 6: Final answer
    x = 9,172.49

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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.