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Finding the Fourth Proportional to 10,504.42, 14,496.06 and 5,788.60

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Solution

The fourth proportional to 10,504.42, 14,496.06 and 5,788.60 is: 7,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.42 : 14,496.06 = 5,788.60 : x
  2. Step 2: Convert to fraction form
    10,504.42/14,496.06 = 5,788.60/x
  3. Step 3: Cross multiply
    10,504.42x = 14,496.06 × 5,788.60
  4. Step 4: Simplify right side
    10,504.42x = 83,911,892.92
  5. Step 5: Solve for x
    x = 83,911,892.92/10,504.42
  6. Step 6: Final answer
    x = 7,988.25

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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.