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Finding the Fourth Proportional to 10,036.50, 15,055.61 and 3,111

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Solution

The fourth proportional to 10,036.50, 15,055.61 and 3,111 is: 4,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.50 : 15,055.61 = 3,111 : x
  2. Step 2: Convert to fraction form
    10,036.50/15,055.61 = 3,111/x
  3. Step 3: Cross multiply
    10,036.50x = 15,055.61 × 3,111
  4. Step 4: Simplify right side
    10,036.50x = 46,837,987.16
  5. Step 5: Solve for x
    x = 46,837,987.16/10,036.50
  6. Step 6: Final answer
    x = 4,666.77

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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.