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Finding the Fourth Proportional to 8,965.66, 12,368.01 and 5,237.50

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Solution

The fourth proportional to 8,965.66, 12,368.01 and 5,237.50 is: 7,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.66 : 12,368.01 = 5,237.50 : x
  2. Step 2: Convert to fraction form
    8,965.66/12,368.01 = 5,237.50/x
  3. Step 3: Cross multiply
    8,965.66x = 12,368.01 × 5,237.50
  4. Step 4: Simplify right side
    8,965.66x = 64,777,452.38
  5. Step 5: Solve for x
    x = 64,777,452.38/8,965.66
  6. Step 6: Final answer
    x = 7,225.06

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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.