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Finding the Fourth Proportional to 8,281.37, 11,427.95 and 4,744.91

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Solution

The fourth proportional to 8,281.37, 11,427.95 and 4,744.91 is: 6,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.37 : 11,427.95 = 4,744.91 : x
  2. Step 2: Convert to fraction form
    8,281.37/11,427.95 = 4,744.91/x
  3. Step 3: Cross multiply
    8,281.37x = 11,427.95 × 4,744.91
  4. Step 4: Simplify right side
    8,281.37x = 54,224,570.51
  5. Step 5: Solve for x
    x = 54,224,570.51/8,281.37
  6. Step 6: Final answer
    x = 6,547.78

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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.