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Finding the Fourth Proportional to 7,777.50, 11,666.25 and 4,854.30

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Solution

The fourth proportional to 7,777.50, 11,666.25 and 4,854.30 is: 7,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.50 : 11,666.25 = 4,854.30 : x
  2. Step 2: Convert to fraction form
    7,777.50/11,666.25 = 4,854.30/x
  3. Step 3: Cross multiply
    7,777.50x = 11,666.25 × 4,854.30
  4. Step 4: Simplify right side
    7,777.50x = 56,631,477.38
  5. Step 5: Solve for x
    x = 56,631,477.38/7,777.50
  6. Step 6: Final answer
    x = 7,281.45

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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.