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Finding the Fourth Proportional to 10,513.56, 15,770.64 and 3,588

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Solution

The fourth proportional to 10,513.56, 15,770.64 and 3,588 is: 5,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.56 : 15,770.64 = 3,588 : x
  2. Step 2: Convert to fraction form
    10,513.56/15,770.64 = 3,588/x
  3. Step 3: Cross multiply
    10,513.56x = 15,770.64 × 3,588
  4. Step 4: Simplify right side
    10,513.56x = 56,585,056.32
  5. Step 5: Solve for x
    x = 56,585,056.32/10,513.56
  6. Step 6: Final answer
    x = 5,382.10

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Why These Related Problems?

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