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Finding the Fourth Proportional to 7,664.68, 10,574.94 and 4,307.14

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Solution

The fourth proportional to 7,664.68, 10,574.94 and 4,307.14 is: 5,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.68 : 10,574.94 = 4,307.14 : x
  2. Step 2: Convert to fraction form
    7,664.68/10,574.94 = 4,307.14/x
  3. Step 3: Cross multiply
    7,664.68x = 10,574.94 × 4,307.14
  4. Step 4: Simplify right side
    7,664.68x = 45,547,747.07
  5. Step 5: Solve for x
    x = 45,547,747.07/7,664.68
  6. Step 6: Final answer
    x = 5,942.55

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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.