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Finding the Fourth Proportional to 10,335.99, 15,503.75 and 3,315.72

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Solution

The fourth proportional to 10,335.99, 15,503.75 and 3,315.72 is: 4,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.99 : 15,503.75 = 3,315.72 : x
  2. Step 2: Convert to fraction form
    10,335.99/15,503.75 = 3,315.72/x
  3. Step 3: Cross multiply
    10,335.99x = 15,503.75 × 3,315.72
  4. Step 4: Simplify right side
    10,335.99x = 51,406,077.37
  5. Step 5: Solve for x
    x = 51,406,077.37/10,335.99
  6. Step 6: Final answer
    x = 4,973.50

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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.