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Finding the Fourth Proportional to 10,612.78, 14,630.43 and 7,459.18

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Solution

The fourth proportional to 10,612.78, 14,630.43 and 7,459.18 is: 10,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.78 : 14,630.43 = 7,459.18 : x
  2. Step 2: Convert to fraction form
    10,612.78/14,630.43 = 7,459.18/x
  3. Step 3: Cross multiply
    10,612.78x = 14,630.43 × 7,459.18
  4. Step 4: Simplify right side
    10,612.78x = 109,131,010.85
  5. Step 5: Solve for x
    x = 109,131,010.85/10,612.78
  6. Step 6: Final answer
    x = 10,282.98

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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.