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Finding the Fourth Proportional to 10,562.18, 14,574.04 and 6,314.96

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Solution

The fourth proportional to 10,562.18, 14,574.04 and 6,314.96 is: 8,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.18 : 14,574.04 = 6,314.96 : x
  2. Step 2: Convert to fraction form
    10,562.18/14,574.04 = 6,314.96/x
  3. Step 3: Cross multiply
    10,562.18x = 14,574.04 × 6,314.96
  4. Step 4: Simplify right side
    10,562.18x = 92,034,448.06
  5. Step 5: Solve for x
    x = 92,034,448.06/10,562.18
  6. Step 6: Final answer
    x = 8,713.58

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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.