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Finding the Fourth Proportional to 8,364.34, 11,547.66 and 5,008.24

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Solution

The fourth proportional to 8,364.34, 11,547.66 and 5,008.24 is: 6,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.34 : 11,547.66 = 5,008.24 : x
  2. Step 2: Convert to fraction form
    8,364.34/11,547.66 = 5,008.24/x
  3. Step 3: Cross multiply
    8,364.34x = 11,547.66 × 5,008.24
  4. Step 4: Simplify right side
    8,364.34x = 57,833,452.72
  5. Step 5: Solve for x
    x = 57,833,452.72/8,364.34
  6. Step 6: Final answer
    x = 6,914.29

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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.