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Finding the Fourth Proportional to 10,507.24, 14,502.14 and 6,034.02

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Solution

The fourth proportional to 10,507.24, 14,502.14 and 6,034.02 is: 8,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.24 : 14,502.14 = 6,034.02 : x
  2. Step 2: Convert to fraction form
    10,507.24/14,502.14 = 6,034.02/x
  3. Step 3: Cross multiply
    10,507.24x = 14,502.14 × 6,034.02
  4. Step 4: Simplify right side
    10,507.24x = 87,506,202.80
  5. Step 5: Solve for x
    x = 87,506,202.80/10,507.24
  6. Step 6: Final answer
    x = 8,328.18

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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.