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Finding the Fourth Proportional to 10,362, 15,542.58 and 2,966.16

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Solution

The fourth proportional to 10,362, 15,542.58 and 2,966.16 is: 4,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362 : 15,542.58 = 2,966.16 : x
  2. Step 2: Convert to fraction form
    10,362/15,542.58 = 2,966.16/x
  3. Step 3: Cross multiply
    10,362x = 15,542.58 × 2,966.16
  4. Step 4: Simplify right side
    10,362x = 46,101,779.09
  5. Step 5: Solve for x
    x = 46,101,779.09/10,362
  6. Step 6: Final answer
    x = 4,449.12

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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.