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Finding the Fourth Proportional to 11,546.88, 15,935.66 and 6,510.84

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Solution

The fourth proportional to 11,546.88, 15,935.66 and 6,510.84 is: 8,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.88 : 15,935.66 = 6,510.84 : x
  2. Step 2: Convert to fraction form
    11,546.88/15,935.66 = 6,510.84/x
  3. Step 3: Cross multiply
    11,546.88x = 15,935.66 × 6,510.84
  4. Step 4: Simplify right side
    11,546.88x = 103,754,532.55
  5. Step 5: Solve for x
    x = 103,754,532.55/11,546.88
  6. Step 6: Final answer
    x = 8,985.50

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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.