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Finding the Fourth Proportional to 7,505.76, 11,254.92 and 4,386.56

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Solution

The fourth proportional to 7,505.76, 11,254.92 and 4,386.56 is: 6,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.76 : 11,254.92 = 4,386.56 : x
  2. Step 2: Convert to fraction form
    7,505.76/11,254.92 = 4,386.56/x
  3. Step 3: Cross multiply
    7,505.76x = 11,254.92 × 4,386.56
  4. Step 4: Simplify right side
    7,505.76x = 49,370,346.16
  5. Step 5: Solve for x
    x = 49,370,346.16/7,505.76
  6. Step 6: Final answer
    x = 6,577.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.