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Finding the Fourth Proportional to 11,346.84, 15,656.40 and 6,871.01

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Solution

The fourth proportional to 11,346.84, 15,656.40 and 6,871.01 is: 9,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.84 : 15,656.40 = 6,871.01 : x
  2. Step 2: Convert to fraction form
    11,346.84/15,656.40 = 6,871.01/x
  3. Step 3: Cross multiply
    11,346.84x = 15,656.40 × 6,871.01
  4. Step 4: Simplify right side
    11,346.84x = 107,575,280.96
  5. Step 5: Solve for x
    x = 107,575,280.96/11,346.84
  6. Step 6: Final answer
    x = 9,480.64

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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.