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Finding the Fourth Proportional to 10,580.36, 15,854.10 and 4,002.98

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Solution

The fourth proportional to 10,580.36, 15,854.10 and 4,002.98 is: 5,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.36 : 15,854.10 = 4,002.98 : x
  2. Step 2: Convert to fraction form
    10,580.36/15,854.10 = 4,002.98/x
  3. Step 3: Cross multiply
    10,580.36x = 15,854.10 × 4,002.98
  4. Step 4: Simplify right side
    10,580.36x = 63,463,645.22
  5. Step 5: Solve for x
    x = 63,463,645.22/10,580.36
  6. Step 6: Final answer
    x = 5,998.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.