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Finding the Fourth Proportional to 8,534.90, 12,805.35 and 4,376.87

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Solution

The fourth proportional to 8,534.90, 12,805.35 and 4,376.87 is: 6,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.90 : 12,805.35 = 4,376.87 : x
  2. Step 2: Convert to fraction form
    8,534.90/12,805.35 = 4,376.87/x
  3. Step 3: Cross multiply
    8,534.90x = 12,805.35 × 4,376.87
  4. Step 4: Simplify right side
    8,534.90x = 56,047,352.25
  5. Step 5: Solve for x
    x = 56,047,352.25/8,534.90
  6. Step 6: Final answer
    x = 6,566.84

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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.