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Finding the Fourth Proportional to 10,700.32, 16,056.82 and 4,856.84

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Solution

The fourth proportional to 10,700.32, 16,056.82 and 4,856.84 is: 7,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.32 : 16,056.82 = 4,856.84 : x
  2. Step 2: Convert to fraction form
    10,700.32/16,056.82 = 4,856.84/x
  3. Step 3: Cross multiply
    10,700.32x = 16,056.82 × 4,856.84
  4. Step 4: Simplify right side
    10,700.32x = 77,985,405.65
  5. Step 5: Solve for x
    x = 77,985,405.65/10,700.32
  6. Step 6: Final answer
    x = 7,288.14

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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.