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Finding the Fourth Proportional to 10,428.84, 15,604 and 7,314.92

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Solution

The fourth proportional to 10,428.84, 15,604 and 7,314.92 is: 10,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.84 : 15,604 = 7,314.92 : x
  2. Step 2: Convert to fraction form
    10,428.84/15,604 = 7,314.92/x
  3. Step 3: Cross multiply
    10,428.84x = 15,604 × 7,314.92
  4. Step 4: Simplify right side
    10,428.84x = 114,142,011.68
  5. Step 5: Solve for x
    x = 114,142,011.68/10,428.84
  6. Step 6: Final answer
    x = 10,944.84

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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.