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Finding the Fourth Proportional to 7,332.58, 10,980.64 and 5,131

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Solution

The fourth proportional to 7,332.58, 10,980.64 and 5,131 is: 7,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.58 : 10,980.64 = 5,131 : x
  2. Step 2: Convert to fraction form
    7,332.58/10,980.64 = 5,131/x
  3. Step 3: Cross multiply
    7,332.58x = 10,980.64 × 5,131
  4. Step 4: Simplify right side
    7,332.58x = 56,341,663.84
  5. Step 5: Solve for x
    x = 56,341,663.84/7,332.58
  6. Step 6: Final answer
    x = 7,683.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.