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Finding the Fourth Proportional to 8,053, 11,113.16 and 4,698.12

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Solution

The fourth proportional to 8,053, 11,113.16 and 4,698.12 is: 6,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053 : 11,113.16 = 4,698.12 : x
  2. Step 2: Convert to fraction form
    8,053/11,113.16 = 4,698.12/x
  3. Step 3: Cross multiply
    8,053x = 11,113.16 × 4,698.12
  4. Step 4: Simplify right side
    8,053x = 52,210,959.26
  5. Step 5: Solve for x
    x = 52,210,959.26/8,053
  6. Step 6: Final answer
    x = 6,483.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.