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Finding the Fourth Proportional to 11,061.90, 16,597.71 and 5,866.50

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Solution

The fourth proportional to 11,061.90, 16,597.71 and 5,866.50 is: 8,802.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,061.90 : 16,597.71 = 5,866.50 : x
  2. Step 2: Convert to fraction form
    11,061.90/16,597.71 = 5,866.50/x
  3. Step 3: Cross multiply
    11,061.90x = 16,597.71 × 5,866.50
  4. Step 4: Simplify right side
    11,061.90x = 97,370,465.72
  5. Step 5: Solve for x
    x = 97,370,465.72/11,061.90
  6. Step 6: Final answer
    x = 8,802.33

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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.