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Finding the Fourth Proportional to 8,594.31, 12,950.02 and 7,068.49

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Solution

The fourth proportional to 8,594.31, 12,950.02 and 7,068.49 is: 10,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.31 : 12,950.02 = 7,068.49 : x
  2. Step 2: Convert to fraction form
    8,594.31/12,950.02 = 7,068.49/x
  3. Step 3: Cross multiply
    8,594.31x = 12,950.02 × 7,068.49
  4. Step 4: Simplify right side
    8,594.31x = 91,537,036.82
  5. Step 5: Solve for x
    x = 91,537,036.82/8,594.31
  6. Step 6: Final answer
    x = 10,650.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.