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Finding the Fourth Proportional to 10,646.14, 15,941.28 and 7,509.16

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Solution

The fourth proportional to 10,646.14, 15,941.28 and 7,509.16 is: 11,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.14 : 15,941.28 = 7,509.16 : x
  2. Step 2: Convert to fraction form
    10,646.14/15,941.28 = 7,509.16/x
  3. Step 3: Cross multiply
    10,646.14x = 15,941.28 × 7,509.16
  4. Step 4: Simplify right side
    10,646.14x = 119,705,622.12
  5. Step 5: Solve for x
    x = 119,705,622.12/10,646.14
  6. Step 6: Final answer
    x = 11,244.04

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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.