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Finding the Fourth Proportional to 7,525.50, 10,386.42 and 7,193.28

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Solution

The fourth proportional to 7,525.50, 10,386.42 and 7,193.28 is: 9,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.50 : 10,386.42 = 7,193.28 : x
  2. Step 2: Convert to fraction form
    7,525.50/10,386.42 = 7,193.28/x
  3. Step 3: Cross multiply
    7,525.50x = 10,386.42 × 7,193.28
  4. Step 4: Simplify right side
    7,525.50x = 74,712,427.26
  5. Step 5: Solve for x
    x = 74,712,427.26/7,525.50
  6. Step 6: Final answer
    x = 9,927.90

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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.