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Finding the Fourth Proportional to 11,564.67, 15,959.25 and 6,259.50

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Solution

The fourth proportional to 11,564.67, 15,959.25 and 6,259.50 is: 8,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.67 : 15,959.25 = 6,259.50 : x
  2. Step 2: Convert to fraction form
    11,564.67/15,959.25 = 6,259.50/x
  3. Step 3: Cross multiply
    11,564.67x = 15,959.25 × 6,259.50
  4. Step 4: Simplify right side
    11,564.67x = 99,896,925.38
  5. Step 5: Solve for x
    x = 99,896,925.38/11,564.67
  6. Step 6: Final answer
    x = 8,638.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.