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Finding the Fourth Proportional to 10,409.51, 15,617.00 and 3,013.81

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Solution

The fourth proportional to 10,409.51, 15,617.00 and 3,013.81 is: 4,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.51 : 15,617.00 = 3,013.81 : x
  2. Step 2: Convert to fraction form
    10,409.51/15,617.00 = 3,013.81/x
  3. Step 3: Cross multiply
    10,409.51x = 15,617.00 × 3,013.81
  4. Step 4: Simplify right side
    10,409.51x = 47,066,639.26
  5. Step 5: Solve for x
    x = 47,066,639.26/10,409.51
  6. Step 6: Final answer
    x = 4,521.50

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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.