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Finding the Fourth Proportional to 8,539.34, 11,784.35 and 4,762.74

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Solution

The fourth proportional to 8,539.34, 11,784.35 and 4,762.74 is: 6,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.34 : 11,784.35 = 4,762.74 : x
  2. Step 2: Convert to fraction form
    8,539.34/11,784.35 = 4,762.74/x
  3. Step 3: Cross multiply
    8,539.34x = 11,784.35 × 4,762.74
  4. Step 4: Simplify right side
    8,539.34x = 56,125,795.12
  5. Step 5: Solve for x
    x = 56,125,795.12/8,539.34
  6. Step 6: Final answer
    x = 6,572.62

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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.