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Finding the Fourth Proportional to 11,303.56, 15,595.67 and 6,523.14

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Solution

The fourth proportional to 11,303.56, 15,595.67 and 6,523.14 is: 9,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.56 : 15,595.67 = 6,523.14 : x
  2. Step 2: Convert to fraction form
    11,303.56/15,595.67 = 6,523.14/x
  3. Step 3: Cross multiply
    11,303.56x = 15,595.67 × 6,523.14
  4. Step 4: Simplify right side
    11,303.56x = 101,732,755.11
  5. Step 5: Solve for x
    x = 101,732,755.11/11,303.56
  6. Step 6: Final answer
    x = 9,000.07

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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.