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Finding the Fourth Proportional to 10,538.58, 15,805.44 and 4,692

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Solution

The fourth proportional to 10,538.58, 15,805.44 and 4,692 is: 7,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.58 : 15,805.44 = 4,692 : x
  2. Step 2: Convert to fraction form
    10,538.58/15,805.44 = 4,692/x
  3. Step 3: Cross multiply
    10,538.58x = 15,805.44 × 4,692
  4. Step 4: Simplify right side
    10,538.58x = 74,159,124.48
  5. Step 5: Solve for x
    x = 74,159,124.48/10,538.58
  6. Step 6: Final answer
    x = 7,036.92

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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.