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Finding the Fourth Proportional to 7,710.34, 11,567.40 and 2,780.32

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Solution

The fourth proportional to 7,710.34, 11,567.40 and 2,780.32 is: 4,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.34 : 11,567.40 = 2,780.32 : x
  2. Step 2: Convert to fraction form
    7,710.34/11,567.40 = 2,780.32/x
  3. Step 3: Cross multiply
    7,710.34x = 11,567.40 × 2,780.32
  4. Step 4: Simplify right side
    7,710.34x = 32,161,073.57
  5. Step 5: Solve for x
    x = 32,161,073.57/7,710.34
  6. Step 6: Final answer
    x = 4,171.16

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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.