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Finding the Fourth Proportional to 10,133.52, 15,176.64 and 9,783.12

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Solution

The fourth proportional to 10,133.52, 15,176.64 and 9,783.12 is: 14,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.52 : 15,176.64 = 9,783.12 : x
  2. Step 2: Convert to fraction form
    10,133.52/15,176.64 = 9,783.12/x
  3. Step 3: Cross multiply
    10,133.52x = 15,176.64 × 9,783.12
  4. Step 4: Simplify right side
    10,133.52x = 148,474,890.32
  5. Step 5: Solve for x
    x = 148,474,890.32/10,133.52
  6. Step 6: Final answer
    x = 14,651.86

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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.