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Finding the Fourth Proportional to 10,389.84, 15,563.16 and 7,047.60

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Solution

The fourth proportional to 10,389.84, 15,563.16 and 7,047.60 is: 10,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.84 : 15,563.16 = 7,047.60 : x
  2. Step 2: Convert to fraction form
    10,389.84/15,563.16 = 7,047.60/x
  3. Step 3: Cross multiply
    10,389.84x = 15,563.16 × 7,047.60
  4. Step 4: Simplify right side
    10,389.84x = 109,682,926.42
  5. Step 5: Solve for x
    x = 109,682,926.42/10,389.84
  6. Step 6: Final answer
    x = 10,556.75

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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.