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Finding the Fourth Proportional to 10,645.84, 15,952.35 and 6,742.05

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Solution

The fourth proportional to 10,645.84, 15,952.35 and 6,742.05 is: 10,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.84 : 15,952.35 = 6,742.05 : x
  2. Step 2: Convert to fraction form
    10,645.84/15,952.35 = 6,742.05/x
  3. Step 3: Cross multiply
    10,645.84x = 15,952.35 × 6,742.05
  4. Step 4: Simplify right side
    10,645.84x = 107,551,541.32
  5. Step 5: Solve for x
    x = 107,551,541.32/10,645.84
  6. Step 6: Final answer
    x = 10,102.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.