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Finding the Fourth Proportional to 7,564.77, 10,437.81 and 4,420.35

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Solution

The fourth proportional to 7,564.77, 10,437.81 and 4,420.35 is: 6,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.77 : 10,437.81 = 4,420.35 : x
  2. Step 2: Convert to fraction form
    7,564.77/10,437.81 = 4,420.35/x
  3. Step 3: Cross multiply
    7,564.77x = 10,437.81 × 4,420.35
  4. Step 4: Simplify right side
    7,564.77x = 46,138,773.43
  5. Step 5: Solve for x
    x = 46,138,773.43/7,564.77
  6. Step 6: Final answer
    x = 6,099.16

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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.