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Finding the Fourth Proportional to 7,002.60, 9,665.24 and 4,352.01

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Solution

The fourth proportional to 7,002.60, 9,665.24 and 4,352.01 is: 6,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.60 : 9,665.24 = 4,352.01 : x
  2. Step 2: Convert to fraction form
    7,002.60/9,665.24 = 4,352.01/x
  3. Step 3: Cross multiply
    7,002.60x = 9,665.24 × 4,352.01
  4. Step 4: Simplify right side
    7,002.60x = 42,063,199.37
  5. Step 5: Solve for x
    x = 42,063,199.37/7,002.60
  6. Step 6: Final answer
    x = 6,006.80

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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.