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Finding the Fourth Proportional to 11,589.76, 15,994.40 and 6,554.18

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Solution

The fourth proportional to 11,589.76, 15,994.40 and 6,554.18 is: 9,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.76 : 15,994.40 = 6,554.18 : x
  2. Step 2: Convert to fraction form
    11,589.76/15,994.40 = 6,554.18/x
  3. Step 3: Cross multiply
    11,589.76x = 15,994.40 × 6,554.18
  4. Step 4: Simplify right side
    11,589.76x = 104,830,176.59
  5. Step 5: Solve for x
    x = 104,830,176.59/11,589.76
  6. Step 6: Final answer
    x = 9,045.07

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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.