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Finding the Fourth Proportional to 8,590.49, 11,854.15 and 4,762.23

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Solution

The fourth proportional to 8,590.49, 11,854.15 and 4,762.23 is: 6,571.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.49 : 11,854.15 = 4,762.23 : x
  2. Step 2: Convert to fraction form
    8,590.49/11,854.15 = 4,762.23/x
  3. Step 3: Cross multiply
    8,590.49x = 11,854.15 × 4,762.23
  4. Step 4: Simplify right side
    8,590.49x = 56,452,164.94
  5. Step 5: Solve for x
    x = 56,452,164.94/8,590.49
  6. Step 6: Final answer
    x = 6,571.47

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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.