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Finding the Fourth Proportional to 11,433.61, 17,150.40 and 7,509.64

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Solution

The fourth proportional to 11,433.61, 17,150.40 and 7,509.64 is: 11,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.61 : 17,150.40 = 7,509.64 : x
  2. Step 2: Convert to fraction form
    11,433.61/17,150.40 = 7,509.64/x
  3. Step 3: Cross multiply
    11,433.61x = 17,150.40 × 7,509.64
  4. Step 4: Simplify right side
    11,433.61x = 128,793,329.86
  5. Step 5: Solve for x
    x = 128,793,329.86/11,433.61
  6. Step 6: Final answer
    x = 11,264.45

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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.