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Finding the Fourth Proportional to 10,613.17, 14,645.64 and 5,897.35

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Solution

The fourth proportional to 10,613.17, 14,645.64 and 5,897.35 is: 8,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.17 : 14,645.64 = 5,897.35 : x
  2. Step 2: Convert to fraction form
    10,613.17/14,645.64 = 5,897.35/x
  3. Step 3: Cross multiply
    10,613.17x = 14,645.64 × 5,897.35
  4. Step 4: Simplify right side
    10,613.17x = 86,370,465.05
  5. Step 5: Solve for x
    x = 86,370,465.05/10,613.17
  6. Step 6: Final answer
    x = 8,138.05

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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.