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Finding the Fourth Proportional to 7,266.81, 10,030.31 and 4,714.50

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Solution

The fourth proportional to 7,266.81, 10,030.31 and 4,714.50 is: 6,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.81 : 10,030.31 = 4,714.50 : x
  2. Step 2: Convert to fraction form
    7,266.81/10,030.31 = 4,714.50/x
  3. Step 3: Cross multiply
    7,266.81x = 10,030.31 × 4,714.50
  4. Step 4: Simplify right side
    7,266.81x = 47,287,896.50
  5. Step 5: Solve for x
    x = 47,287,896.50/7,266.81
  6. Step 6: Final answer
    x = 6,507.38

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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.