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Finding the Fourth Proportional to 7,538.55, 11,298.53 and 5,465.67

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Solution

The fourth proportional to 7,538.55, 11,298.53 and 5,465.67 is: 8,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.55 : 11,298.53 = 5,465.67 : x
  2. Step 2: Convert to fraction form
    7,538.55/11,298.53 = 5,465.67/x
  3. Step 3: Cross multiply
    7,538.55x = 11,298.53 × 5,465.67
  4. Step 4: Simplify right side
    7,538.55x = 61,754,009.14
  5. Step 5: Solve for x
    x = 61,754,009.14/7,538.55
  6. Step 6: Final answer
    x = 8,191.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.