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Finding the Fourth Proportional to 7,083.78, 10,565.91 and 6,152.01

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Solution

The fourth proportional to 7,083.78, 10,565.91 and 6,152.01 is: 9,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.78 : 10,565.91 = 6,152.01 : x
  2. Step 2: Convert to fraction form
    7,083.78/10,565.91 = 6,152.01/x
  3. Step 3: Cross multiply
    7,083.78x = 10,565.91 × 6,152.01
  4. Step 4: Simplify right side
    7,083.78x = 65,001,583.98
  5. Step 5: Solve for x
    x = 65,001,583.98/7,083.78
  6. Step 6: Final answer
    x = 9,176.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.