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Finding the Fourth Proportional to 10,612.01, 14,646.22 and 7,637.69

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Solution

The fourth proportional to 10,612.01, 14,646.22 and 7,637.69 is: 10,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.01 : 14,646.22 = 7,637.69 : x
  2. Step 2: Convert to fraction form
    10,612.01/14,646.22 = 7,637.69/x
  3. Step 3: Cross multiply
    10,612.01x = 14,646.22 × 7,637.69
  4. Step 4: Simplify right side
    10,612.01x = 111,863,305.55
  5. Step 5: Solve for x
    x = 111,863,305.55/10,612.01
  6. Step 6: Final answer
    x = 10,541.20

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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.