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Finding the Fourth Proportional to 10,280.64, 14,186.88 and 5,803.68

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Solution

The fourth proportional to 10,280.64, 14,186.88 and 5,803.68 is: 8,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.64 : 14,186.88 = 5,803.68 : x
  2. Step 2: Convert to fraction form
    10,280.64/14,186.88 = 5,803.68/x
  3. Step 3: Cross multiply
    10,280.64x = 14,186.88 × 5,803.68
  4. Step 4: Simplify right side
    10,280.64x = 82,336,111.72
  5. Step 5: Solve for x
    x = 82,336,111.72/10,280.64
  6. Step 6: Final answer
    x = 8,008.85

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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.