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Finding the Fourth Proportional to 11,875.40, 17,716.53 and 10,133

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Solution

The fourth proportional to 11,875.40, 17,716.53 and 10,133 is: 15,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.40 : 17,716.53 = 10,133 : x
  2. Step 2: Convert to fraction form
    11,875.40/17,716.53 = 10,133/x
  3. Step 3: Cross multiply
    11,875.40x = 17,716.53 × 10,133
  4. Step 4: Simplify right side
    11,875.40x = 179,521,598.49
  5. Step 5: Solve for x
    x = 179,521,598.49/11,875.40
  6. Step 6: Final answer
    x = 15,117.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.