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Finding the Fourth Proportional to 10,905, 16,357.14 and 3,509.88

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Solution

The fourth proportional to 10,905, 16,357.14 and 3,509.88 is: 5,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905 : 16,357.14 = 3,509.88 : x
  2. Step 2: Convert to fraction form
    10,905/16,357.14 = 3,509.88/x
  3. Step 3: Cross multiply
    10,905x = 16,357.14 × 3,509.88
  4. Step 4: Simplify right side
    10,905x = 57,411,598.54
  5. Step 5: Solve for x
    x = 57,411,598.54/10,905
  6. Step 6: Final answer
    x = 5,264.70

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Why These Related Problems?

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