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Finding the Fourth Proportional to 10,703.84, 16,055.64 and 3,308.13

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Solution

The fourth proportional to 10,703.84, 16,055.64 and 3,308.13 is: 4,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.84 : 16,055.64 = 3,308.13 : x
  2. Step 2: Convert to fraction form
    10,703.84/16,055.64 = 3,308.13/x
  3. Step 3: Cross multiply
    10,703.84x = 16,055.64 × 3,308.13
  4. Step 4: Simplify right side
    10,703.84x = 53,114,144.35
  5. Step 5: Solve for x
    x = 53,114,144.35/10,703.84
  6. Step 6: Final answer
    x = 4,962.16

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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.