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Finding the Fourth Proportional to 12,075.47, 16,663.89 and 6,770.17

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Solution

The fourth proportional to 12,075.47, 16,663.89 and 6,770.17 is: 9,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.47 : 16,663.89 = 6,770.17 : x
  2. Step 2: Convert to fraction form
    12,075.47/16,663.89 = 6,770.17/x
  3. Step 3: Cross multiply
    12,075.47x = 16,663.89 × 6,770.17
  4. Step 4: Simplify right side
    12,075.47x = 112,817,368.16
  5. Step 5: Solve for x
    x = 112,817,368.16/12,075.47
  6. Step 6: Final answer
    x = 9,342.69

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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.