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Finding the Fourth Proportional to 10,318.64, 14,239.80 and 5,602.92

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Solution

The fourth proportional to 10,318.64, 14,239.80 and 5,602.92 is: 7,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.64 : 14,239.80 = 5,602.92 : x
  2. Step 2: Convert to fraction form
    10,318.64/14,239.80 = 5,602.92/x
  3. Step 3: Cross multiply
    10,318.64x = 14,239.80 × 5,602.92
  4. Step 4: Simplify right side
    10,318.64x = 79,784,460.22
  5. Step 5: Solve for x
    x = 79,784,460.22/10,318.64
  6. Step 6: Final answer
    x = 7,732.08

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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.