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Finding the Fourth Proportional to 10,504, 14,495.36 and 5,788.16

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Solution

The fourth proportional to 10,504, 14,495.36 and 5,788.16 is: 7,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504 : 14,495.36 = 5,788.16 : x
  2. Step 2: Convert to fraction form
    10,504/14,495.36 = 5,788.16/x
  3. Step 3: Cross multiply
    10,504x = 14,495.36 × 5,788.16
  4. Step 4: Simplify right side
    10,504x = 83,901,462.94
  5. Step 5: Solve for x
    x = 83,901,462.94/10,504
  6. Step 6: Final answer
    x = 7,987.57

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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.