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Finding the Fourth Proportional to 11,332.94, 15,646.77 and 7,301.57

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Solution

The fourth proportional to 11,332.94, 15,646.77 and 7,301.57 is: 10,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.94 : 15,646.77 = 7,301.57 : x
  2. Step 2: Convert to fraction form
    11,332.94/15,646.77 = 7,301.57/x
  3. Step 3: Cross multiply
    11,332.94x = 15,646.77 × 7,301.57
  4. Step 4: Simplify right side
    11,332.94x = 114,245,908.20
  5. Step 5: Solve for x
    x = 114,245,908.20/11,332.94
  6. Step 6: Final answer
    x = 10,080.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.