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Finding the Fourth Proportional to 8,261.30, 11,398.64 and 4,726.46

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Solution

The fourth proportional to 8,261.30, 11,398.64 and 4,726.46 is: 6,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.30 : 11,398.64 = 4,726.46 : x
  2. Step 2: Convert to fraction form
    8,261.30/11,398.64 = 4,726.46/x
  3. Step 3: Cross multiply
    8,261.30x = 11,398.64 × 4,726.46
  4. Step 4: Simplify right side
    8,261.30x = 53,875,216.01
  5. Step 5: Solve for x
    x = 53,875,216.01/8,261.30
  6. Step 6: Final answer
    x = 6,521.40

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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.