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Finding the Fourth Proportional to 8,637.42, 11,904.12 and 6,275.46

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Solution

The fourth proportional to 8,637.42, 11,904.12 and 6,275.46 is: 8,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.42 : 11,904.12 = 6,275.46 : x
  2. Step 2: Convert to fraction form
    8,637.42/11,904.12 = 6,275.46/x
  3. Step 3: Cross multiply
    8,637.42x = 11,904.12 × 6,275.46
  4. Step 4: Simplify right side
    8,637.42x = 74,703,828.90
  5. Step 5: Solve for x
    x = 74,703,828.90/8,637.42
  6. Step 6: Final answer
    x = 8,648.86

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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.