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Finding the Fourth Proportional to 6,702.42, 10,053 and 5,259

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Solution

The fourth proportional to 6,702.42, 10,053 and 5,259 is: 7,888.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.42 : 10,053 = 5,259 : x
  2. Step 2: Convert to fraction form
    6,702.42/10,053 = 5,259/x
  3. Step 3: Cross multiply
    6,702.42x = 10,053 × 5,259
  4. Step 4: Simplify right side
    6,702.42x = 52,868,727
  5. Step 5: Solve for x
    x = 52,868,727/6,702.42
  6. Step 6: Final answer
    x = 7,888.01

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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.