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Finding the Fourth Proportional to 10,537.68, 15,808.80 and 5,606.60

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Solution

The fourth proportional to 10,537.68, 15,808.80 and 5,606.60 is: 8,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.68 : 15,808.80 = 5,606.60 : x
  2. Step 2: Convert to fraction form
    10,537.68/15,808.80 = 5,606.60/x
  3. Step 3: Cross multiply
    10,537.68x = 15,808.80 × 5,606.60
  4. Step 4: Simplify right side
    10,537.68x = 88,633,539.04
  5. Step 5: Solve for x
    x = 88,633,539.04/10,537.68
  6. Step 6: Final answer
    x = 8,411.11

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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.