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Finding the Fourth Proportional to 7,775.29, 10,729.50 and 4,417.64

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Solution

The fourth proportional to 7,775.29, 10,729.50 and 4,417.64 is: 6,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.29 : 10,729.50 = 4,417.64 : x
  2. Step 2: Convert to fraction form
    7,775.29/10,729.50 = 4,417.64/x
  3. Step 3: Cross multiply
    7,775.29x = 10,729.50 × 4,417.64
  4. Step 4: Simplify right side
    7,775.29x = 47,399,068.38
  5. Step 5: Solve for x
    x = 47,399,068.38/7,775.29
  6. Step 6: Final answer
    x = 6,096.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.