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Finding the Fourth Proportional to 10,620.48, 14,654.16 and 6,429.12

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Solution

The fourth proportional to 10,620.48, 14,654.16 and 6,429.12 is: 8,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.48 : 14,654.16 = 6,429.12 : x
  2. Step 2: Convert to fraction form
    10,620.48/14,654.16 = 6,429.12/x
  3. Step 3: Cross multiply
    10,620.48x = 14,654.16 × 6,429.12
  4. Step 4: Simplify right side
    10,620.48x = 94,213,353.14
  5. Step 5: Solve for x
    x = 94,213,353.14/10,620.48
  6. Step 6: Final answer
    x = 8,870.91

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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.