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Finding the Fourth Proportional to 10,318.02, 14,239.02 and 5,602.32

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Solution

The fourth proportional to 10,318.02, 14,239.02 and 5,602.32 is: 7,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.02 : 14,239.02 = 5,602.32 : x
  2. Step 2: Convert to fraction form
    10,318.02/14,239.02 = 5,602.32/x
  3. Step 3: Cross multiply
    10,318.02x = 14,239.02 × 5,602.32
  4. Step 4: Simplify right side
    10,318.02x = 79,771,546.53
  5. Step 5: Solve for x
    x = 79,771,546.53/10,318.02
  6. Step 6: Final answer
    x = 7,731.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.