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Finding the Fourth Proportional to 7,548.99, 10,417.54 and 4,146.06

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Solution

The fourth proportional to 7,548.99, 10,417.54 and 4,146.06 is: 5,721.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.99 : 10,417.54 = 4,146.06 : x
  2. Step 2: Convert to fraction form
    7,548.99/10,417.54 = 4,146.06/x
  3. Step 3: Cross multiply
    7,548.99x = 10,417.54 × 4,146.06
  4. Step 4: Simplify right side
    7,548.99x = 43,191,745.89
  5. Step 5: Solve for x
    x = 43,191,745.89/7,548.99
  6. Step 6: Final answer
    x = 5,721.53

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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.