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Finding the Fourth Proportional to 11,510.87, 15,886.35 and 6,475.28

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Solution

The fourth proportional to 11,510.87, 15,886.35 and 6,475.28 is: 8,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.87 : 15,886.35 = 6,475.28 : x
  2. Step 2: Convert to fraction form
    11,510.87/15,886.35 = 6,475.28/x
  3. Step 3: Cross multiply
    11,510.87x = 15,886.35 × 6,475.28
  4. Step 4: Simplify right side
    11,510.87x = 102,868,485.00
  5. Step 5: Solve for x
    x = 102,868,485.00/11,510.87
  6. Step 6: Final answer
    x = 8,936.64

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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.