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Finding the Fourth Proportional to 11,773.42, 16,261.71 and 8,802.46

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Solution

The fourth proportional to 11,773.42, 16,261.71 and 8,802.46 is: 12,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.42 : 16,261.71 = 8,802.46 : x
  2. Step 2: Convert to fraction form
    11,773.42/16,261.71 = 8,802.46/x
  3. Step 3: Cross multiply
    11,773.42x = 16,261.71 × 8,802.46
  4. Step 4: Simplify right side
    11,773.42x = 143,143,051.81
  5. Step 5: Solve for x
    x = 143,143,051.81/11,773.42
  6. Step 6: Final answer
    x = 12,158.15

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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.