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Finding the Fourth Proportional to 10,835.36, 14,951.76 and 8,602.64

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Solution

The fourth proportional to 10,835.36, 14,951.76 and 8,602.64 is: 11,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.36 : 14,951.76 = 8,602.64 : x
  2. Step 2: Convert to fraction form
    10,835.36/14,951.76 = 8,602.64/x
  3. Step 3: Cross multiply
    10,835.36x = 14,951.76 × 8,602.64
  4. Step 4: Simplify right side
    10,835.36x = 128,624,608.65
  5. Step 5: Solve for x
    x = 128,624,608.65/10,835.36
  6. Step 6: Final answer
    x = 11,870.82

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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.