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Finding the Fourth Proportional to 10,580.26, 14,607.41 and 6,809.98

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Solution

The fourth proportional to 10,580.26, 14,607.41 and 6,809.98 is: 9,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.26 : 14,607.41 = 6,809.98 : x
  2. Step 2: Convert to fraction form
    10,580.26/14,607.41 = 6,809.98/x
  3. Step 3: Cross multiply
    10,580.26x = 14,607.41 × 6,809.98
  4. Step 4: Simplify right side
    10,580.26x = 99,476,154.16
  5. Step 5: Solve for x
    x = 99,476,154.16/10,580.26
  6. Step 6: Final answer
    x = 9,402.05

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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.