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Finding the Fourth Proportional to 7,124.98, 9,830.28 and 4,140.25

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Solution

The fourth proportional to 7,124.98, 9,830.28 and 4,140.25 is: 5,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.98 : 9,830.28 = 4,140.25 : x
  2. Step 2: Convert to fraction form
    7,124.98/9,830.28 = 4,140.25/x
  3. Step 3: Cross multiply
    7,124.98x = 9,830.28 × 4,140.25
  4. Step 4: Simplify right side
    7,124.98x = 40,699,816.77
  5. Step 5: Solve for x
    x = 40,699,816.77/7,124.98
  6. Step 6: Final answer
    x = 5,712.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.