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Finding the Fourth Proportional to 11,655.50, 17,483.85 and 5,810.13

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Solution

The fourth proportional to 11,655.50, 17,483.85 and 5,810.13 is: 8,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.50 : 17,483.85 = 5,810.13 : x
  2. Step 2: Convert to fraction form
    11,655.50/17,483.85 = 5,810.13/x
  3. Step 3: Cross multiply
    11,655.50x = 17,483.85 × 5,810.13
  4. Step 4: Simplify right side
    11,655.50x = 101,583,441.40
  5. Step 5: Solve for x
    x = 101,583,441.40/11,655.50
  6. Step 6: Final answer
    x = 8,715.50

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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.