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Finding the Fourth Proportional to 10,612.63, 14,646.03 and 5,897.21

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Solution

The fourth proportional to 10,612.63, 14,646.03 and 5,897.21 is: 8,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.63 : 14,646.03 = 5,897.21 : x
  2. Step 2: Convert to fraction form
    10,612.63/14,646.03 = 5,897.21/x
  3. Step 3: Cross multiply
    10,612.63x = 14,646.03 × 5,897.21
  4. Step 4: Simplify right side
    10,612.63x = 86,370,714.58
  5. Step 5: Solve for x
    x = 86,370,714.58/10,612.63
  6. Step 6: Final answer
    x = 8,138.48

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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.