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Finding the Fourth Proportional to 10,525.74, 14,524.56 and 6,742.20

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Solution

The fourth proportional to 10,525.74, 14,524.56 and 6,742.20 is: 9,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.74 : 14,524.56 = 6,742.20 : x
  2. Step 2: Convert to fraction form
    10,525.74/14,524.56 = 6,742.20/x
  3. Step 3: Cross multiply
    10,525.74x = 14,524.56 × 6,742.20
  4. Step 4: Simplify right side
    10,525.74x = 97,927,488.43
  5. Step 5: Solve for x
    x = 97,927,488.43/10,525.74
  6. Step 6: Final answer
    x = 9,303.62

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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.