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Finding the Fourth Proportional to 10,005.61, 13,809.66 and 5,759.53

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Solution

The fourth proportional to 10,005.61, 13,809.66 and 5,759.53 is: 7,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.61 : 13,809.66 = 5,759.53 : x
  2. Step 2: Convert to fraction form
    10,005.61/13,809.66 = 5,759.53/x
  3. Step 3: Cross multiply
    10,005.61x = 13,809.66 × 5,759.53
  4. Step 4: Simplify right side
    10,005.61x = 79,537,151.06
  5. Step 5: Solve for x
    x = 79,537,151.06/10,005.61
  6. Step 6: Final answer
    x = 7,949.26

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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.