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Finding the Fourth Proportional to 11,486.90, 17,230.35 and 5,642.30

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Solution

The fourth proportional to 11,486.90, 17,230.35 and 5,642.30 is: 8,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.90 : 17,230.35 = 5,642.30 : x
  2. Step 2: Convert to fraction form
    11,486.90/17,230.35 = 5,642.30/x
  3. Step 3: Cross multiply
    11,486.90x = 17,230.35 × 5,642.30
  4. Step 4: Simplify right side
    11,486.90x = 97,218,803.81
  5. Step 5: Solve for x
    x = 97,218,803.81/11,486.90
  6. Step 6: Final answer
    x = 8,463.45

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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.