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Finding the Fourth Proportional to 7,059.52, 9,742.44 and 4,700.08

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Solution

The fourth proportional to 7,059.52, 9,742.44 and 4,700.08 is: 6,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.52 : 9,742.44 = 4,700.08 : x
  2. Step 2: Convert to fraction form
    7,059.52/9,742.44 = 4,700.08/x
  3. Step 3: Cross multiply
    7,059.52x = 9,742.44 × 4,700.08
  4. Step 4: Simplify right side
    7,059.52x = 45,790,247.40
  5. Step 5: Solve for x
    x = 45,790,247.40/7,059.52
  6. Step 6: Final answer
    x = 6,486.31

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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.