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Finding the Fourth Proportional to 10,580.58, 14,600.64 and 6,104.07

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Solution

The fourth proportional to 10,580.58, 14,600.64 and 6,104.07 is: 8,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.58 : 14,600.64 = 6,104.07 : x
  2. Step 2: Convert to fraction form
    10,580.58/14,600.64 = 6,104.07/x
  3. Step 3: Cross multiply
    10,580.58x = 14,600.64 × 6,104.07
  4. Step 4: Simplify right side
    10,580.58x = 89,123,328.60
  5. Step 5: Solve for x
    x = 89,123,328.60/10,580.58
  6. Step 6: Final answer
    x = 8,423.29

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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.