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Finding the Fourth Proportional to 7,629.84, 10,534.24 and 5,858.24

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Solution

The fourth proportional to 7,629.84, 10,534.24 and 5,858.24 is: 8,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.84 : 10,534.24 = 5,858.24 : x
  2. Step 2: Convert to fraction form
    7,629.84/10,534.24 = 5,858.24/x
  3. Step 3: Cross multiply
    7,629.84x = 10,534.24 × 5,858.24
  4. Step 4: Simplify right side
    7,629.84x = 61,712,106.14
  5. Step 5: Solve for x
    x = 61,712,106.14/7,629.84
  6. Step 6: Final answer
    x = 8,088.26

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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.