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Finding the Fourth Proportional to 11,507.37, 15,881.52 and 6,471.78

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Solution

The fourth proportional to 11,507.37, 15,881.52 and 6,471.78 is: 8,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.37 : 15,881.52 = 6,471.78 : x
  2. Step 2: Convert to fraction form
    11,507.37/15,881.52 = 6,471.78/x
  3. Step 3: Cross multiply
    11,507.37x = 15,881.52 × 6,471.78
  4. Step 4: Simplify right side
    11,507.37x = 102,781,703.51
  5. Step 5: Solve for x
    x = 102,781,703.51/11,507.37
  6. Step 6: Final answer
    x = 8,931.82

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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.