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Finding the Fourth Proportional to 10,052.62, 15,085.34 and 7,089.23

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Solution

The fourth proportional to 10,052.62, 15,085.34 and 7,089.23 is: 10,638.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.62 : 15,085.34 = 7,089.23 : x
  2. Step 2: Convert to fraction form
    10,052.62/15,085.34 = 7,089.23/x
  3. Step 3: Cross multiply
    10,052.62x = 15,085.34 × 7,089.23
  4. Step 4: Simplify right side
    10,052.62x = 106,943,473.74
  5. Step 5: Solve for x
    x = 106,943,473.74/10,052.62
  6. Step 6: Final answer
    x = 10,638.37

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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.