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Finding the Fourth Proportional to 10,133.93, 15,177.38 and 9,783.51

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Solution

The fourth proportional to 10,133.93, 15,177.38 and 9,783.51 is: 14,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.93 : 15,177.38 = 9,783.51 : x
  2. Step 2: Convert to fraction form
    10,133.93/15,177.38 = 9,783.51/x
  3. Step 3: Cross multiply
    10,133.93x = 15,177.38 × 9,783.51
  4. Step 4: Simplify right side
    10,133.93x = 148,488,000.09
  5. Step 5: Solve for x
    x = 148,488,000.09/10,133.93
  6. Step 6: Final answer
    x = 14,652.57

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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.