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Finding the Fourth Proportional to 7,588.84, 10,477.70 and 5,817.32

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Solution

The fourth proportional to 7,588.84, 10,477.70 and 5,817.32 is: 8,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.84 : 10,477.70 = 5,817.32 : x
  2. Step 2: Convert to fraction form
    7,588.84/10,477.70 = 5,817.32/x
  3. Step 3: Cross multiply
    7,588.84x = 10,477.70 × 5,817.32
  4. Step 4: Simplify right side
    7,588.84x = 60,952,133.76
  5. Step 5: Solve for x
    x = 60,952,133.76/7,588.84
  6. Step 6: Final answer
    x = 8,031.81

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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.