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Finding the Fourth Proportional to 11,294.94, 15,587.06 and 6,259.24

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Solution

The fourth proportional to 11,294.94, 15,587.06 and 6,259.24 is: 8,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.94 : 15,587.06 = 6,259.24 : x
  2. Step 2: Convert to fraction form
    11,294.94/15,587.06 = 6,259.24/x
  3. Step 3: Cross multiply
    11,294.94x = 15,587.06 × 6,259.24
  4. Step 4: Simplify right side
    11,294.94x = 97,563,181.46
  5. Step 5: Solve for x
    x = 97,563,181.46/11,294.94
  6. Step 6: Final answer
    x = 8,637.78

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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.