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Finding the Fourth Proportional to 11,547.13, 17,314.53 and 5,994.88

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Solution

The fourth proportional to 11,547.13, 17,314.53 and 5,994.88 is: 8,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.13 : 17,314.53 = 5,994.88 : x
  2. Step 2: Convert to fraction form
    11,547.13/17,314.53 = 5,994.88/x
  3. Step 3: Cross multiply
    11,547.13x = 17,314.53 × 5,994.88
  4. Step 4: Simplify right side
    11,547.13x = 103,798,529.61
  5. Step 5: Solve for x
    x = 103,798,529.61/11,547.13
  6. Step 6: Final answer
    x = 8,989.12

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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.