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Finding the Fourth Proportional to 10,267.48, 14,169.66 and 5,851.48

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Solution

The fourth proportional to 10,267.48, 14,169.66 and 5,851.48 is: 8,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.48 : 14,169.66 = 5,851.48 : x
  2. Step 2: Convert to fraction form
    10,267.48/14,169.66 = 5,851.48/x
  3. Step 3: Cross multiply
    10,267.48x = 14,169.66 × 5,851.48
  4. Step 4: Simplify right side
    10,267.48x = 82,913,482.10
  5. Step 5: Solve for x
    x = 82,913,482.10/10,267.48
  6. Step 6: Final answer
    x = 8,075.35

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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.