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Finding the Fourth Proportional to 10,539.58, 15,806.94 and 4,693

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Solution

The fourth proportional to 10,539.58, 15,806.94 and 4,693 is: 7,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.58 : 15,806.94 = 4,693 : x
  2. Step 2: Convert to fraction form
    10,539.58/15,806.94 = 4,693/x
  3. Step 3: Cross multiply
    10,539.58x = 15,806.94 × 4,693
  4. Step 4: Simplify right side
    10,539.58x = 74,181,969.42
  5. Step 5: Solve for x
    x = 74,181,969.42/10,539.58
  6. Step 6: Final answer
    x = 7,038.42

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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.