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Finding the Fourth Proportional to 10,186.16, 14,041.88 and 7,945.52

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Solution

The fourth proportional to 10,186.16, 14,041.88 and 7,945.52 is: 10,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.16 : 14,041.88 = 7,945.52 : x
  2. Step 2: Convert to fraction form
    10,186.16/14,041.88 = 7,945.52/x
  3. Step 3: Cross multiply
    10,186.16x = 14,041.88 × 7,945.52
  4. Step 4: Simplify right side
    10,186.16x = 111,570,038.38
  5. Step 5: Solve for x
    x = 111,570,038.38/10,186.16
  6. Step 6: Final answer
    x = 10,953.10

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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.