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Finding the Fourth Proportional to 8,565.34, 11,820.40 and 4,788.40

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Solution

The fourth proportional to 8,565.34, 11,820.40 and 4,788.40 is: 6,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.34 : 11,820.40 = 4,788.40 : x
  2. Step 2: Convert to fraction form
    8,565.34/11,820.40 = 4,788.40/x
  3. Step 3: Cross multiply
    8,565.34x = 11,820.40 × 4,788.40
  4. Step 4: Simplify right side
    8,565.34x = 56,600,803.36
  5. Step 5: Solve for x
    x = 56,600,803.36/8,565.34
  6. Step 6: Final answer
    x = 6,608.12

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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.