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Finding the Fourth Proportional to 8,303.16, 11,457.96 and 4,763.76

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Solution

The fourth proportional to 8,303.16, 11,457.96 and 4,763.76 is: 6,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.16 : 11,457.96 = 4,763.76 : x
  2. Step 2: Convert to fraction form
    8,303.16/11,457.96 = 4,763.76/x
  3. Step 3: Cross multiply
    8,303.16x = 11,457.96 × 4,763.76
  4. Step 4: Simplify right side
    8,303.16x = 54,582,971.53
  5. Step 5: Solve for x
    x = 54,582,971.53/8,303.16
  6. Step 6: Final answer
    x = 6,573.76

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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.