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Finding the Fourth Proportional to 10,045.69, 13,861.59 and 5,569.44

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Solution

The fourth proportional to 10,045.69, 13,861.59 and 5,569.44 is: 7,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.69 : 13,861.59 = 5,569.44 : x
  2. Step 2: Convert to fraction form
    10,045.69/13,861.59 = 5,569.44/x
  3. Step 3: Cross multiply
    10,045.69x = 13,861.59 × 5,569.44
  4. Step 4: Simplify right side
    10,045.69x = 77,201,293.81
  5. Step 5: Solve for x
    x = 77,201,293.81/10,045.69
  6. Step 6: Final answer
    x = 7,685.02

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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.