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Finding the Fourth Proportional to 8,301.85, 11,455.53 and 4,715.53

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Solution

The fourth proportional to 8,301.85, 11,455.53 and 4,715.53 is: 6,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.85 : 11,455.53 = 4,715.53 : x
  2. Step 2: Convert to fraction form
    8,301.85/11,455.53 = 4,715.53/x
  3. Step 3: Cross multiply
    8,301.85x = 11,455.53 × 4,715.53
  4. Step 4: Simplify right side
    8,301.85x = 54,018,895.38
  5. Step 5: Solve for x
    x = 54,018,895.38/8,301.85
  6. Step 6: Final answer
    x = 6,506.85

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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.