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Finding the Fourth Proportional to 7,041.47, 9,719.40 and 4,059.30

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Solution

The fourth proportional to 7,041.47, 9,719.40 and 4,059.30 is: 5,603.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.47 : 9,719.40 = 4,059.30 : x
  2. Step 2: Convert to fraction form
    7,041.47/9,719.40 = 4,059.30/x
  3. Step 3: Cross multiply
    7,041.47x = 9,719.40 × 4,059.30
  4. Step 4: Simplify right side
    7,041.47x = 39,453,891.53
  5. Step 5: Solve for x
    x = 39,453,891.53/7,041.47
  6. Step 6: Final answer
    x = 5,603.08

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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.