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Finding the Fourth Proportional to 8,457.32, 12,693.70 and 4,300.20

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Solution

The fourth proportional to 8,457.32, 12,693.70 and 4,300.20 is: 6,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.32 : 12,693.70 = 4,300.20 : x
  2. Step 2: Convert to fraction form
    8,457.32/12,693.70 = 4,300.20/x
  3. Step 3: Cross multiply
    8,457.32x = 12,693.70 × 4,300.20
  4. Step 4: Simplify right side
    8,457.32x = 54,585,448.74
  5. Step 5: Solve for x
    x = 54,585,448.74/8,457.32
  6. Step 6: Final answer
    x = 6,454.23

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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.