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Finding the Fourth Proportional to 8,656.72, 11,947.20 and 5,301.76

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Solution

The fourth proportional to 8,656.72, 11,947.20 and 5,301.76 is: 7,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.72 : 11,947.20 = 5,301.76 : x
  2. Step 2: Convert to fraction form
    8,656.72/11,947.20 = 5,301.76/x
  3. Step 3: Cross multiply
    8,656.72x = 11,947.20 × 5,301.76
  4. Step 4: Simplify right side
    8,656.72x = 63,341,187.07
  5. Step 5: Solve for x
    x = 63,341,187.07/8,656.72
  6. Step 6: Final answer
    x = 7,317.00

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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.