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Finding the Fourth Proportional to 10,291.51, 15,423.43 and 7,505.16

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Solution

The fourth proportional to 10,291.51, 15,423.43 and 7,505.16 is: 11,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.51 : 15,423.43 = 7,505.16 : x
  2. Step 2: Convert to fraction form
    10,291.51/15,423.43 = 7,505.16/x
  3. Step 3: Cross multiply
    10,291.51x = 15,423.43 × 7,505.16
  4. Step 4: Simplify right side
    10,291.51x = 115,755,309.90
  5. Step 5: Solve for x
    x = 115,755,309.90/10,291.51
  6. Step 6: Final answer
    x = 11,247.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.