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Finding the Fourth Proportional to 11,547.49, 15,934.42 and 6,701.47

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Solution

The fourth proportional to 11,547.49, 15,934.42 and 6,701.47 is: 9,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.49 : 15,934.42 = 6,701.47 : x
  2. Step 2: Convert to fraction form
    11,547.49/15,934.42 = 6,701.47/x
  3. Step 3: Cross multiply
    11,547.49x = 15,934.42 × 6,701.47
  4. Step 4: Simplify right side
    11,547.49x = 106,783,992.47
  5. Step 5: Solve for x
    x = 106,783,992.47/11,547.49
  6. Step 6: Final answer
    x = 9,247.37

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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.