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Finding the Fourth Proportional to 10,357.38, 14,298.48 and 7,017.84

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Solution

The fourth proportional to 10,357.38, 14,298.48 and 7,017.84 is: 9,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.38 : 14,298.48 = 7,017.84 : x
  2. Step 2: Convert to fraction form
    10,357.38/14,298.48 = 7,017.84/x
  3. Step 3: Cross multiply
    10,357.38x = 14,298.48 × 7,017.84
  4. Step 4: Simplify right side
    10,357.38x = 100,344,444.88
  5. Step 5: Solve for x
    x = 100,344,444.88/10,357.38
  6. Step 6: Final answer
    x = 9,688.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.