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Finding the Fourth Proportional to 11,783.12, 16,259.74 and 6,937.08

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Solution

The fourth proportional to 11,783.12, 16,259.74 and 6,937.08 is: 9,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.12 : 16,259.74 = 6,937.08 : x
  2. Step 2: Convert to fraction form
    11,783.12/16,259.74 = 6,937.08/x
  3. Step 3: Cross multiply
    11,783.12x = 16,259.74 × 6,937.08
  4. Step 4: Simplify right side
    11,783.12x = 112,795,117.16
  5. Step 5: Solve for x
    x = 112,795,117.16/11,783.12
  6. Step 6: Final answer
    x = 9,572.60

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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.