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Finding the Fourth Proportional to 10,484.66, 15,706.98 and 10,133

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Solution

The fourth proportional to 10,484.66, 15,706.98 and 10,133 is: 15,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.66 : 15,706.98 = 10,133 : x
  2. Step 2: Convert to fraction form
    10,484.66/15,706.98 = 10,133/x
  3. Step 3: Cross multiply
    10,484.66x = 15,706.98 × 10,133
  4. Step 4: Simplify right side
    10,484.66x = 159,158,828.34
  5. Step 5: Solve for x
    x = 159,158,828.34/10,484.66
  6. Step 6: Final answer
    x = 15,180.16

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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.