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Finding the Fourth Proportional to 8,569.34, 11,825.94 and 4,792.40

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Solution

The fourth proportional to 8,569.34, 11,825.94 and 4,792.40 is: 6,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.34 : 11,825.94 = 4,792.40 : x
  2. Step 2: Convert to fraction form
    8,569.34/11,825.94 = 4,792.40/x
  3. Step 3: Cross multiply
    8,569.34x = 11,825.94 × 4,792.40
  4. Step 4: Simplify right side
    8,569.34x = 56,674,634.86
  5. Step 5: Solve for x
    x = 56,674,634.86/8,569.34
  6. Step 6: Final answer
    x = 6,613.65

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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.