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Finding the Fourth Proportional to 10,567.64, 14,583.12 and 5,851.64

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Solution

The fourth proportional to 10,567.64, 14,583.12 and 5,851.64 is: 8,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.64 : 14,583.12 = 5,851.64 : x
  2. Step 2: Convert to fraction form
    10,567.64/14,583.12 = 5,851.64/x
  3. Step 3: Cross multiply
    10,567.64x = 14,583.12 × 5,851.64
  4. Step 4: Simplify right side
    10,567.64x = 85,335,168.32
  5. Step 5: Solve for x
    x = 85,335,168.32/10,567.64
  6. Step 6: Final answer
    x = 8,075.14

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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.