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Finding the Fourth Proportional to 8,367.60, 11,547.54 and 4,590.96

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Solution

The fourth proportional to 8,367.60, 11,547.54 and 4,590.96 is: 6,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.60 : 11,547.54 = 4,590.96 : x
  2. Step 2: Convert to fraction form
    8,367.60/11,547.54 = 4,590.96/x
  3. Step 3: Cross multiply
    8,367.60x = 11,547.54 × 4,590.96
  4. Step 4: Simplify right side
    8,367.60x = 53,014,294.24
  5. Step 5: Solve for x
    x = 53,014,294.24/8,367.60
  6. Step 6: Final answer
    x = 6,335.66

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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.