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Finding the Fourth Proportional to 7,005.98, 10,511 and 2,075.71

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Solution

The fourth proportional to 7,005.98, 10,511 and 2,075.71 is: 3,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.98 : 10,511 = 2,075.71 : x
  2. Step 2: Convert to fraction form
    7,005.98/10,511 = 2,075.71/x
  3. Step 3: Cross multiply
    7,005.98x = 10,511 × 2,075.71
  4. Step 4: Simplify right side
    7,005.98x = 21,817,787.81
  5. Step 5: Solve for x
    x = 21,817,787.81/7,005.98
  6. Step 6: Final answer
    x = 3,114.17

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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.