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Finding the Fourth Proportional to 11,564.10, 15,953.27 and 6,845.63

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Solution

The fourth proportional to 11,564.10, 15,953.27 and 6,845.63 is: 9,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.10 : 15,953.27 = 6,845.63 : x
  2. Step 2: Convert to fraction form
    11,564.10/15,953.27 = 6,845.63/x
  3. Step 3: Cross multiply
    11,564.10x = 15,953.27 × 6,845.63
  4. Step 4: Simplify right side
    11,564.10x = 109,210,069.72
  5. Step 5: Solve for x
    x = 109,210,069.72/11,564.10
  6. Step 6: Final answer
    x = 9,443.89

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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.