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Finding the Fourth Proportional to 10,303.73, 15,446.38 and 5,035.76

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Solution

The fourth proportional to 10,303.73, 15,446.38 and 5,035.76 is: 7,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.73 : 15,446.38 = 5,035.76 : x
  2. Step 2: Convert to fraction form
    10,303.73/15,446.38 = 5,035.76/x
  3. Step 3: Cross multiply
    10,303.73x = 15,446.38 × 5,035.76
  4. Step 4: Simplify right side
    10,303.73x = 77,784,262.55
  5. Step 5: Solve for x
    x = 77,784,262.55/10,303.73
  6. Step 6: Final answer
    x = 7,549.14

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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.