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Finding the Fourth Proportional to 8,653.58, 12,980.80 and 4,215.32

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Solution

The fourth proportional to 8,653.58, 12,980.80 and 4,215.32 is: 6,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.58 : 12,980.80 = 4,215.32 : x
  2. Step 2: Convert to fraction form
    8,653.58/12,980.80 = 4,215.32/x
  3. Step 3: Cross multiply
    8,653.58x = 12,980.80 × 4,215.32
  4. Step 4: Simplify right side
    8,653.58x = 54,718,225.86
  5. Step 5: Solve for x
    x = 54,718,225.86/8,653.58
  6. Step 6: Final answer
    x = 6,323.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.