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Finding the Fourth Proportional to 10,036.29, 13,849.99 and 5,560.32

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Solution

The fourth proportional to 10,036.29, 13,849.99 and 5,560.32 is: 7,673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.29 : 13,849.99 = 5,560.32 : x
  2. Step 2: Convert to fraction form
    10,036.29/13,849.99 = 5,560.32/x
  3. Step 3: Cross multiply
    10,036.29x = 13,849.99 × 5,560.32
  4. Step 4: Simplify right side
    10,036.29x = 77,010,376.40
  5. Step 5: Solve for x
    x = 77,010,376.40/10,036.29
  6. Step 6: Final answer
    x = 7,673.19

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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.