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Finding the Fourth Proportional to 11,547.63, 15,934.61 and 6,512.64

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Solution

The fourth proportional to 11,547.63, 15,934.61 and 6,512.64 is: 8,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.63 : 15,934.61 = 6,512.64 : x
  2. Step 2: Convert to fraction form
    11,547.63/15,934.61 = 6,512.64/x
  3. Step 3: Cross multiply
    11,547.63x = 15,934.61 × 6,512.64
  4. Step 4: Simplify right side
    11,547.63x = 103,776,335.00
  5. Step 5: Solve for x
    x = 103,776,335.00/11,547.63
  6. Step 6: Final answer
    x = 8,986.81

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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.