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Finding the Fourth Proportional to 11,864.72, 16,373.64 and 6,560.02

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Solution

The fourth proportional to 11,864.72, 16,373.64 and 6,560.02 is: 9,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.72 : 16,373.64 = 6,560.02 : x
  2. Step 2: Convert to fraction form
    11,864.72/16,373.64 = 6,560.02/x
  3. Step 3: Cross multiply
    11,864.72x = 16,373.64 × 6,560.02
  4. Step 4: Simplify right side
    11,864.72x = 107,411,405.87
  5. Step 5: Solve for x
    x = 107,411,405.87/11,864.72
  6. Step 6: Final answer
    x = 9,053.01

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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.