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Finding the Fourth Proportional to 7,715.06, 10,646.78 and 4,357.71

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Solution

The fourth proportional to 7,715.06, 10,646.78 and 4,357.71 is: 6,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.06 : 10,646.78 = 4,357.71 : x
  2. Step 2: Convert to fraction form
    7,715.06/10,646.78 = 4,357.71/x
  3. Step 3: Cross multiply
    7,715.06x = 10,646.78 × 4,357.71
  4. Step 4: Simplify right side
    7,715.06x = 46,395,557.89
  5. Step 5: Solve for x
    x = 46,395,557.89/7,715.06
  6. Step 6: Final answer
    x = 6,013.64

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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.