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Finding the Fourth Proportional to 7,509.63, 10,365.75 and 5,272.06

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Solution

The fourth proportional to 7,509.63, 10,365.75 and 5,272.06 is: 7,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.63 : 10,365.75 = 5,272.06 : x
  2. Step 2: Convert to fraction form
    7,509.63/10,365.75 = 5,272.06/x
  3. Step 3: Cross multiply
    7,509.63x = 10,365.75 × 5,272.06
  4. Step 4: Simplify right side
    7,509.63x = 54,648,855.95
  5. Step 5: Solve for x
    x = 54,648,855.95/7,509.63
  6. Step 6: Final answer
    x = 7,277.17

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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.