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Finding the Fourth Proportional to 11,513.64, 15,888.86 and 6,798.23

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Solution

The fourth proportional to 11,513.64, 15,888.86 and 6,798.23 is: 9,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.64 : 15,888.86 = 6,798.23 : x
  2. Step 2: Convert to fraction form
    11,513.64/15,888.86 = 6,798.23/x
  3. Step 3: Cross multiply
    11,513.64x = 15,888.86 × 6,798.23
  4. Step 4: Simplify right side
    11,513.64x = 108,016,011.28
  5. Step 5: Solve for x
    x = 108,016,011.28/11,513.64
  6. Step 6: Final answer
    x = 9,381.57

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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.