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Finding the Fourth Proportional to 7,358.98, 10,145.64 and 6,095.38

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Solution

The fourth proportional to 7,358.98, 10,145.64 and 6,095.38 is: 8,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.98 : 10,145.64 = 6,095.38 : x
  2. Step 2: Convert to fraction form
    7,358.98/10,145.64 = 6,095.38/x
  3. Step 3: Cross multiply
    7,358.98x = 10,145.64 × 6,095.38
  4. Step 4: Simplify right side
    7,358.98x = 61,841,531.14
  5. Step 5: Solve for x
    x = 61,841,531.14/7,358.98
  6. Step 6: Final answer
    x = 8,403.55

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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.