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Finding the Fourth Proportional to 10,349, 14,281.62 and 5,633.32

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Solution

The fourth proportional to 10,349, 14,281.62 and 5,633.32 is: 7,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349 : 14,281.62 = 5,633.32 : x
  2. Step 2: Convert to fraction form
    10,349/14,281.62 = 5,633.32/x
  3. Step 3: Cross multiply
    10,349x = 14,281.62 × 5,633.32
  4. Step 4: Simplify right side
    10,349x = 80,452,935.58
  5. Step 5: Solve for x
    x = 80,452,935.58/10,349
  6. Step 6: Final answer
    x = 7,773.98

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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.