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Finding the Fourth Proportional to 10,347.30, 15,537.15 and 5,973.30

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Solution

The fourth proportional to 10,347.30, 15,537.15 and 5,973.30 is: 8,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.30 : 15,537.15 = 5,973.30 : x
  2. Step 2: Convert to fraction form
    10,347.30/15,537.15 = 5,973.30/x
  3. Step 3: Cross multiply
    10,347.30x = 15,537.15 × 5,973.30
  4. Step 4: Simplify right side
    10,347.30x = 92,808,058.10
  5. Step 5: Solve for x
    x = 92,808,058.10/10,347.30
  6. Step 6: Final answer
    x = 8,969.30

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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.