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Finding the Fourth Proportional to 8,307.98, 11,458.53 and 5,324.10

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Solution

The fourth proportional to 8,307.98, 11,458.53 and 5,324.10 is: 7,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.98 : 11,458.53 = 5,324.10 : x
  2. Step 2: Convert to fraction form
    8,307.98/11,458.53 = 5,324.10/x
  3. Step 3: Cross multiply
    8,307.98x = 11,458.53 × 5,324.10
  4. Step 4: Simplify right side
    8,307.98x = 61,006,325.57
  5. Step 5: Solve for x
    x = 61,006,325.57/8,307.98
  6. Step 6: Final answer
    x = 7,343.10

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1.5x scale

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.