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Finding the Fourth Proportional to 7,665.04, 10,578.32 and 4,307.84

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Solution

The fourth proportional to 7,665.04, 10,578.32 and 4,307.84 is: 5,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.04 : 10,578.32 = 4,307.84 : x
  2. Step 2: Convert to fraction form
    7,665.04/10,578.32 = 4,307.84/x
  3. Step 3: Cross multiply
    7,665.04x = 10,578.32 × 4,307.84
  4. Step 4: Simplify right side
    7,665.04x = 45,569,710.03
  5. Step 5: Solve for x
    x = 45,569,710.03/7,665.04
  6. Step 6: Final answer
    x = 5,945.14

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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.