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Finding the Fourth Proportional to 11,547.80, 15,936.03 and 6,511.52

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Solution

The fourth proportional to 11,547.80, 15,936.03 and 6,511.52 is: 8,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.80 : 15,936.03 = 6,511.52 : x
  2. Step 2: Convert to fraction form
    11,547.80/15,936.03 = 6,511.52/x
  3. Step 3: Cross multiply
    11,547.80x = 15,936.03 × 6,511.52
  4. Step 4: Simplify right side
    11,547.80x = 103,767,817.91
  5. Step 5: Solve for x
    x = 103,767,817.91/11,547.80
  6. Step 6: Final answer
    x = 8,985.94

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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.