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Finding the Fourth Proportional to 7,547.09, 11,327.84 and 4,631.09

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Solution

The fourth proportional to 7,547.09, 11,327.84 and 4,631.09 is: 6,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.09 : 11,327.84 = 4,631.09 : x
  2. Step 2: Convert to fraction form
    7,547.09/11,327.84 = 4,631.09/x
  3. Step 3: Cross multiply
    7,547.09x = 11,327.84 × 4,631.09
  4. Step 4: Simplify right side
    7,547.09x = 52,460,246.55
  5. Step 5: Solve for x
    x = 52,460,246.55/7,547.09
  6. Step 6: Final answer
    x = 6,951.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.