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Finding the Fourth Proportional to 7,564.74, 10,436.09 and 4,332.84

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Solution

The fourth proportional to 7,564.74, 10,436.09 and 4,332.84 is: 5,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.74 : 10,436.09 = 4,332.84 : x
  2. Step 2: Convert to fraction form
    7,564.74/10,436.09 = 4,332.84/x
  3. Step 3: Cross multiply
    7,564.74x = 10,436.09 × 4,332.84
  4. Step 4: Simplify right side
    7,564.74x = 45,217,886.53
  5. Step 5: Solve for x
    x = 45,217,886.53/7,564.74
  6. Step 6: Final answer
    x = 5,977.45

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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.