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Finding the Fourth Proportional to 8,187.50, 11,298.84 and 4,461.50

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Solution

The fourth proportional to 8,187.50, 11,298.84 and 4,461.50 is: 6,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.50 : 11,298.84 = 4,461.50 : x
  2. Step 2: Convert to fraction form
    8,187.50/11,298.84 = 4,461.50/x
  3. Step 3: Cross multiply
    8,187.50x = 11,298.84 × 4,461.50
  4. Step 4: Simplify right side
    8,187.50x = 50,409,774.66
  5. Step 5: Solve for x
    x = 50,409,774.66/8,187.50
  6. Step 6: Final answer
    x = 6,156.92

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