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Finding the Fourth Proportional to 12,566.36, 17,341.68 and 7,853.40

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Solution

The fourth proportional to 12,566.36, 17,341.68 and 7,853.40 is: 10,837.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.36 : 17,341.68 = 7,853.40 : x
  2. Step 2: Convert to fraction form
    12,566.36/17,341.68 = 7,853.40/x
  3. Step 3: Cross multiply
    12,566.36x = 17,341.68 × 7,853.40
  4. Step 4: Simplify right side
    12,566.36x = 136,191,149.71
  5. Step 5: Solve for x
    x = 136,191,149.71/12,566.36
  6. Step 6: Final answer
    x = 10,837.76

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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.