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Finding the Fourth Proportional to 10,612.82, 14,646.08 and 5,897

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Solution

The fourth proportional to 10,612.82, 14,646.08 and 5,897 is: 8,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.82 : 14,646.08 = 5,897 : x
  2. Step 2: Convert to fraction form
    10,612.82/14,646.08 = 5,897/x
  3. Step 3: Cross multiply
    10,612.82x = 14,646.08 × 5,897
  4. Step 4: Simplify right side
    10,612.82x = 86,367,904.28
  5. Step 5: Solve for x
    x = 86,367,904.28/10,612.82
  6. Step 6: Final answer
    x = 8,138.07

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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.