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Finding the Fourth Proportional to 10,089.98, 15,130.36 and 5,409.19

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Solution

The fourth proportional to 10,089.98, 15,130.36 and 5,409.19 is: 8,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.98 : 15,130.36 = 5,409.19 : x
  2. Step 2: Convert to fraction form
    10,089.98/15,130.36 = 5,409.19/x
  3. Step 3: Cross multiply
    10,089.98x = 15,130.36 × 5,409.19
  4. Step 4: Simplify right side
    10,089.98x = 81,842,992.01
  5. Step 5: Solve for x
    x = 81,842,992.01/10,089.98
  6. Step 6: Final answer
    x = 8,111.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.