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Finding the Fourth Proportional to 8,385.94, 11,572 and 5,027.07

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Solution

The fourth proportional to 8,385.94, 11,572 and 5,027.07 is: 6,937.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.94 : 11,572 = 5,027.07 : x
  2. Step 2: Convert to fraction form
    8,385.94/11,572 = 5,027.07/x
  3. Step 3: Cross multiply
    8,385.94x = 11,572 × 5,027.07
  4. Step 4: Simplify right side
    8,385.94x = 58,173,254.04
  5. Step 5: Solve for x
    x = 58,173,254.04/8,385.94
  6. Step 6: Final answer
    x = 6,937.00

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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.