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Finding the Fourth Proportional to 10,597.38, 14,626.40 and 7,012.41

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Solution

The fourth proportional to 10,597.38, 14,626.40 and 7,012.41 is: 9,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.38 : 14,626.40 = 7,012.41 : x
  2. Step 2: Convert to fraction form
    10,597.38/14,626.40 = 7,012.41/x
  3. Step 3: Cross multiply
    10,597.38x = 14,626.40 × 7,012.41
  4. Step 4: Simplify right side
    10,597.38x = 102,566,331.16
  5. Step 5: Solve for x
    x = 102,566,331.16/10,597.38
  6. Step 6: Final answer
    x = 9,678.46

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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.