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Finding the Fourth Proportional to 10,446.30, 14,416.83 and 5,970.06

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Solution

The fourth proportional to 10,446.30, 14,416.83 and 5,970.06 is: 8,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.30 : 14,416.83 = 5,970.06 : x
  2. Step 2: Convert to fraction form
    10,446.30/14,416.83 = 5,970.06/x
  3. Step 3: Cross multiply
    10,446.30x = 14,416.83 × 5,970.06
  4. Step 4: Simplify right side
    10,446.30x = 86,069,340.11
  5. Step 5: Solve for x
    x = 86,069,340.11/10,446.30
  6. Step 6: Final answer
    x = 8,239.22

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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.