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Finding the Fourth Proportional to 11,384.74, 15,719.03 and 9,501.19

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Solution

The fourth proportional to 11,384.74, 15,719.03 and 9,501.19 is: 13,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.74 : 15,719.03 = 9,501.19 : x
  2. Step 2: Convert to fraction form
    11,384.74/15,719.03 = 9,501.19/x
  3. Step 3: Cross multiply
    11,384.74x = 15,719.03 × 9,501.19
  4. Step 4: Simplify right side
    11,384.74x = 149,349,490.65
  5. Step 5: Solve for x
    x = 149,349,490.65/11,384.74
  6. Step 6: Final answer
    x = 13,118.39

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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.